×

Bibliography on quantum logics and related structures. (English) Zbl 0745.03049

Summary: The bibliography contains 1851 references on axiomatic structures underlying quantum mechanics, with stress on varieties of algebraico- logical, probabilistic, and operational structures for which the term quantum logics is adopted. An index of about 250 keywords picked out from the titles is included and statistics about papers, journals, and authors are presented. Monographs and proceedings on the subject are noted.

MSC:

03G12 Quantum logic
00A15 Bibliographies for mathematics in general
06C15 Complemented lattices, orthocomplemented lattices and posets
81P10 Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects)
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Aarnes, J. F. (1969), Physical states on aC *-algebra,Acta Math. 122, 161–172; Erratum and addendum in Akemann, C. A., and S. M. Newberger (1973). · Zbl 0183.14203 · doi:10.1007/BF02392009
[2] Aarnes, J. F. (1970), Quasi-states onC *-algebras,Trans. Am. Math. Soc. 149, 601–625. · Zbl 0212.15403
[3] Abbati M., andA. Manià (1981), Spectral theory for order unit spaces,Ann. Inst. Henri Poincaré A 35, 259–285.
[4] Abbati, M., and A. Mania (1981 a), The quantum logical and the operational description for physical systems, inErice79, pp. 119–127. · Zbl 0482.46006
[5] Abbati, M., andA. Mania (1984), Quantum logic and operational quantum mechanics,Rep. Math. Phys. 19, 383–406. · Zbl 0569.03027 · doi:10.1016/0034-4877(84)90009-0
[6] Abbati, M., and A. Manià (1985), The G-central decomposition of states of statistical systems in the algebraic and in the operational description,Rep. Math. Phys. 21, 291–307. · Zbl 0589.46046 · doi:10.1016/0034-4877(85)90034-5
[7] Abbott, J. C. (1967), Implication algebras,Bull. Math. Soc. Sci. Math Roumanie 11, 3–23.
[8] Abbott, J. C. (1967 a), Semi-Boolean algebra,Mat. Vesnik 4, 177–198. · Zbl 0153.02704
[9] Abbott, J. C. (1976), Orthoimplication algebras,Studia Logica 35, 173–177. · Zbl 0331.02036 · doi:10.1007/BF02120879
[10] Accardi, L., andC. Chechini (1982), Conditional expectation in von Neumann algebras and a theorem of Takesaki,J. Funct. Anal 45, 245–273. · Zbl 0483.46043 · doi:10.1016/0022-1236(82)90022-2
[11] Adams, D. H. (1969), The completion by cuts of an orthocomplemented modular lattice,Bull. Amt. Math. Soc. 1, 259–265. · Zbl 0172.30802
[12] Adams, D. H. (1970), A note on a paper by P. D. Finch,J. Aust. Math. Soc. 9, 63–64. · Zbl 0211.02702 · doi:10.1017/S144678870000598X
[13] Adams, D. H. (1970 a), Semigroup completion of lattices,Proc. Lond. Math. Soc. 20, 659–668; Corrigendum,Ibid. 21, 576. · Zbl 0195.03502 · doi:10.1112/plms/s3-20.4.659
[14] Adams, D. H. (1973), A note on constructible lattices,J. Aust. Math. Soc. 15, 296–297. · Zbl 0275.06012 · doi:10.1017/S1446788700013215
[15] Adams, D. H. (1973 a), Equational classes of Foulis semigroups and orthomodular lattices, in Schmidt, J.,el al. (eds.),Proceedings of the Houston lattice theory conference, University of Houston, Houston, Texas, pp. 486–497. · Zbl 0294.06005
[16] Adler, C. G., andJ. F. Wirth (1983), Quantum logic,Am. J. Phys. 51, 412–417. · doi:10.1119/1.13227
[17] Aerts, D. (1980), Subsystems in physics described by bilinear maps between the corresponding vector spaces,J. Math. Phys. 21, 778–788. · Zbl 0458.46016 · doi:10.1063/1.524499
[18] Aerts, D. (1981), Description of compound physical systems and logical interaction of physical systems, inErice79, pp. 381–403.
[19] Aerts, D. (1982), Description of many separated physical entities without paradoxes encountered in quantum mechanics,Found. Phys. 12, 1131–1170. · doi:10.1007/BF00729621
[20] Aerts, D. (1983), Classical theories and nonclassical theories as special cases of a more general theory,J. Math. Phys. 24, 2441–2453. · doi:10.1063/1.525626
[21] Aerts, D. (1983 a), The description of one and many physical systems, in Gruber, C., C. Piron, T. Minhtom, and R. Weil (eds.),Les fondements de la méchaniqite quantique, Association Vaudoise des Chercheurs en Physique, Lausanne, Switzerland, pp. 63–148.
[22] Aerts, D. (1984), Construction of a structure which enables to describe the joint system of a classical system and a quantum system,Rep. Math. Phys. 20, 117–129. · Zbl 0581.06004 · doi:10.1016/0034-4877(84)90077-6
[23] Aerts, D. (1984 a), Construction of the tensor product for the lattices of properties of physical entities,J. Math. Phys. 25, 1434–1441. · doi:10.1063/1.526312
[24] Aerts, D. (1985), A possible explanation for the probabilities of quantum mechanics and example of a macroscopical system that violates Bell inequalities, inCologne74, pp. 235–249.
[25] Aerts, D. (1986), A possible explanation for the probabilities of quantum mechanics,J. Math. Phys. 27, 202–210. · doi:10.1063/1.527362
[26] Aerts, D., andI. Daubechies (1978), About the structure-preserving maps of a quantum mechanical propositional system,Helv. Phys. Acta 51, 637–660.
[27] Aerts, D., andI. Daubechies (1978 a), Physical justification for using the tensor product to describe two quantum systems as one joint system,Helv. Phys. Acta 51, 661–675.
[28] Aerts, D., andI. Daubechies (1979), A connection between propositional systems in Hilbert spaces and von Neumann algebras,Helv. Phys. Acta 52, 184–199.
[29] Aerts, D., andI. Daubechies (1979 a), A characterization of subsystems in physics,Lett. Math. Phys. 3, 11–17. · Zbl 0451.03025 · doi:10.1007/BF00959533
[30] Aerts, D., andL. Daubechies (1979 b), A mathematical condition for a sublattice of a propositional system to represent a physical subsystem with a physical interpretation,Lett. Math. Phys. 3, 19–27. · Zbl 0451.03026 · doi:10.1007/BF00959534
[31] Aerts, D., andI. Daubechies (1983), Simple proof that the structure preserving maps between quantum mechanical propositional systems conserve the angles,Helv. Phys. Acta 56, 1187–1190.
[32] Aerts, D., andC. Piron (1979), The role of the modular pairs in the category of complete orthomodular lattice,Lett. Math. Phys. 3, 1–10. · Zbl 0451.03024 · doi:10.1007/BF00959532
[33] Akemann, C. A., andS. M. Newberger (1973), Physical states on aC *-algebra,Proc. Am. Math. Soc. 40, 500. · Zbl 0272.46037
[34] Albertson, J. (1961), von Neumann’s hidden-parameter proof,Am. J. Phys. 29, 478–484. · Zbl 0098.19602 · doi:10.1119/1.1937816
[35] Alda, V. (1980), Remark on two papers concerning axiomatics of quantum mechanics,Aplikace Matematiky 25, 453–456. · Zbl 0469.46054
[36] Alda, V. (1980 a), On 0–1 measure for projectors. I,Aplikace Matematiky 25, 373–374. · Zbl 0455.46057
[37] Alda, V. (1981), On 0–1 measure for projectors. II,Aplikace Matematiky 26, 57–58. · Zbl 0459.28020
[38] Alfsen, E. M., andF. W. Schulte (1975), On the geometry of noncommutative spectral theory,Bull. Am. Math. Soc. 81, 893–895. · Zbl 0337.46014 · doi:10.1090/S0002-9904-1975-13875-4
[39] Alfsen, E. M., andF. W. Schnitz (1978), State spaces of Jordan algebras,Acta Math. 140, 155–190. · Zbl 0397.46066 · doi:10.1007/BF02392307
[40] Alfsen, E. M., andF. W. Schnitz (1979), On non-commutative spectral theory and Jordan algebras,Proc. Lond. Math. Soc. 38, 497–516. · Zbl 0404.46028 · doi:10.1112/plms/s3-38.3.497
[41] Alfsen, E. M., F. W. Schultz, andE. Størmer (1978), A Gelfand-Neumark theorem for Jordan algebras,Adv. Math. 28, 11–56. · Zbl 0397.46065 · doi:10.1016/0001-8708(78)90044-0
[42] Almog, J. (1978), Perhaps (?), new logical foundations are needed for quantum mechanics,Logique Analyse 21(82-83), 253–277. · Zbl 0394.03010
[43] Amann, A. (1987), Jauch-Piron states inW *-algebraic quantum mechanics,J. Math. Phys. 28, 2384–2389. · Zbl 0637.46074 · doi:10.1063/1.527775
[44] Amemiya, I. (1957), On the representation of complemented modular lattices,J. Math. Soc. Japan 9, 263–279. · Zbl 0079.04502 · doi:10.2969/jmsj/00920263
[45] Amemiya, I., andH. Araki (1966/1967), A remark on Piron’s paper,Publ. Res. Inst. Math. Sci. A 2(3), 423–427. · Zbl 0177.16103 · doi:10.2977/prims/1195195769
[46] Amemiya, I., andI. Halperin (1959), Complemented modular lattices,Can. J. Math. 11, 481–520. · Zbl 0168.26501 · doi:10.4153/CJM-1959-047-6
[47] Anandan, J. (1980), On the hypotheses underlying physical geometry,Found. Phys. 10, 601629. · doi:10.1007/BF00715042
[48] Anger, F. D., J. Sarmiento, andR. V. Rodriguez (1986), Representative graphs of r-regular partial planes and representation of orthomodular posets,Discrete Appl. Math. 15, 1–10. · Zbl 0646.05055 · doi:10.1016/0166-218X(86)90013-2
[49] Anishchenko, S. A. (1968), Conditions for the isomorphism of certain modular lattices,Siberian Math. J. 9, 998–1013 [Sibirsk. Mat. Zh. 9, 745–751].
[50] Anishchenko, S. A. (1971), Modular lattices in which each element is a union of cycles,Siberian Math. J 12, 177–183 [Sibirsk. Mat. Zh. 12, 251–260]. · Zbl 0232.06005 · doi:10.1007/BF00969038
[51] Anishchenko, S. A. (1972), Modulare Verbände und projektive Ebenen,Trudy Zh. Obedinn. Inst. 2, 1–7.
[52] Araki, H. (1966). · Zbl 0177.16103 · doi:10.2977/prims/1195195769
[53] Araki, H. (1972), Remarks on spectra of modular operators of von Neumann algebras,Commun. Math. Phys. 28, 267–277. · Zbl 0245.46093 · doi:10.1007/BF01645628
[54] Araki, H. (1980), On a characterization of the state space of quantum mechanics,Commun. Math. Phys. 75, 1–24. · Zbl 0443.46046 · doi:10.1007/BF01962588
[55] Arens, R. (1966), Invariant sublogics as a way from scalar to many-component wave equations,J. Math. Mech. 15, 349–371. · Zbl 0144.23502
[56] Armstrong, T. (1985). · doi:10.1007/BF00732843
[57] Asquith, P. D., andR. N. Giere (1980) (eds.),PSA 1980 Proceedings of the 1980 Biennial Meeting of the Philosophy of Science Association [PSA80], Philosophy of Science Association, East Lansing, Michigan.
[58] Asquith, P. D., andI. Hacking (1978) (eds.),PSA 1978 Proceedings of the 1978 Bienniel Meeting of the Philosophy of Science Association [PSA78], Philosophy of Science Association, East Lansing, Michigan.
[59] Bach, A. (1980), Probabilistic formulation of quantum theory,J. Math. Phys. 21, 789–793. · Zbl 0438.60015 · doi:10.1063/1.524500
[60] Bach, A. (1983). · doi:10.1063/1.525838
[61] Bach, A., andT. Wenning (1982), A probabilistic formulation of quantum theory. II,J. Math. Phys. 24, 1078–1081. · doi:10.1063/1.525470
[62] Bade, W. (1955), On Boolean algebras of projections and algebras of operators,Trans. Am. Math. Soc. 80, 345–360. · Zbl 0066.36202 · doi:10.1090/S0002-9947-1955-0073954-0
[63] Baker, K. (1969), Equational classes of modular lattices,Pacific J. Math. 28, 9–15. · Zbl 0174.29802
[64] Baker, K. (1974), Primitive satisfaction and equational problems for lattices and other algebras,Trans. Am. Math. Soc. 190, 125–150. · Zbl 0291.08001 · doi:10.1090/S0002-9947-1974-0349532-4
[65] Balzer, W. (1981), Piron’s foundations of quantum mechanics (Comment on his paper),Erkenntnis 16, 403–406. · doi:10.1007/BF00211380
[66] Bán, J. (1987), Martingale convergence theorem in quantum logics,Math. Slovaca 37, 313–322. · Zbl 0638.03059
[67] Banai, M. (1981), Prepositional systems in local field theories,Int. J. Theor. Phys. 20, 147–169. · Zbl 0476.03060 · doi:10.1007/BF00669793
[68] Banai, M. (1981 a), Prepositional systems in field theories and lattice valued quantum logic, inErice79, pp. 425–435.
[69] Banai, M. (1985), Quantization of space-time and the corresponding quantum mechanics,Found. Phys. 15, 1203–1245. · doi:10.1007/BF00735531
[70] Banaschewski, B., andG. Bruns (1967), Categorical characterization of the McNeille completion,Arch. Math. 18, 369–377. · Zbl 0157.34101 · doi:10.1007/BF01898828
[71] Bäni, W. (1979), Inner product spaces of infinite dimension; On the lattice method,Arch. Math. 33, 338–347. · Zbl 0411.15014 · doi:10.1007/BF01222765
[72] Bannier, U. (1978). · doi:10.1007/BF01609470
[73] Barone, F., andG. P. Galdi (1979), On the question of atomicity and determinism in Boolean systems,Lett. Nuovo Cimento 24, 179–182. · doi:10.1007/BF02725754
[74] Béaver, O. R., andT. A. Cook (1977), States on quantum logic and their connection with a theorem of Alexandroff,Proc. Am. Math. Soc. 67, 133–134. · Zbl 0371.28015
[75] Beehner, J. (1980), Bibliography on quantum logic, in, pp. 223–261.
[76] Belinfante, J. G. F. (1976), Transition probability spaces,J. Math. Phys. 17, 285–291. · Zbl 0318.06011 · doi:10.1063/1.522895
[77] Bell, J. L. (1985), Orthospaces and quantum logic,Found. Phys. 15, 1179–1202. · doi:10.1007/BF00735530
[78] Bell, J. L. (1986), A new approach to quantum logic,Br. J. Philos. Sci. 37, 83–99. · Zbl 0616.03037
[79] Bell, J. L., andM. Hallett (1982), Logic, quantum logic, and empiricism,Philos. Sci. 49, 355–379. · doi:10.1086/289066
[80] Bell, J. S. (1966), On the problem of hidden variables in quantum mechanics,Rev. Mod. Phys. 38, 447–452. · Zbl 0152.23605 · doi:10.1103/RevModPhys.38.447
[81] Bell, J. S. (1971), Introduction to the hidden-variable question, inFermi70, pp. 171–181.
[82] Beltrametti, E. G. (1975, 1977). · Zbl 0317.06008 · doi:10.1007/BF01614093
[83] Beltrametti, E. G. (1985), Recent facts in quantum logic and surroundings, inCologne84, pp. 13–31.
[84] Beltrametti, E. G. (1985 a), The non-unique decomposition of mixtures: Some remarks, inJoensuu85, pp. 85–95.
[85] Beltrametti, E. G. (1990), Quantum logic: A summary of some issues, in Miller, A. I. (ed.),Sixty-two years of uncertainty: Historical philosophical and physical inquiries into the foundations of quantum mechanics (Proceedings of a NATO Advanced Study Institute held August 5–15, 1989, in Erice, Sicily, Italy), (NATO ASI B Series, Vol. 226), Plenum Press, New York, pp. 281–296.
[86] Beltrametti, E. G., andG. Cassinelli (1972), Quantum mechanics and p-adic numbers,Found. Phys. 2, 1–7. · doi:10.1007/BF00708614
[87] Beltrametti, E. G., andG. Cassinelli (1973), On the logic of quantum mechanics,Z. Naturforsch. 28a, 1516–1530.
[88] Beltrametti, E. G., andG. Cassinelli (1976), On the structure of the proposition lattice associated with quantum systems, inAtti Convegni Lincei Acc. Naz. Linceei Roma,17-II, 481–499.
[89] Beltrametti, E. G., andG. Cassinelli (1976), Logical and mathematical structures of quantum mechanics,Nuovo Cimento 6, 321–404. · Zbl 0365.06002
[90] Beltrametti, E. G., andG. Cassinelli (1977), On state transformations induced by yes-no experiments in the context of quantum logic,J. Philos. Logic 6, 369–379. · Zbl 0383.03043 · doi:10.1007/BF00262074
[91] Beltrametti, E. G., and G. Cassinelli (1979), Properties of states in quantum logic, inFermi77, pp. 29–70. · Zbl 0445.03037
[92] Beltrametti, E. G., andG. Cassinelli (1980), Problems of the proposition state structure of quantum mechanics, in Dalla Chiara, M. L. (ed.),Italian studies in the philosophy of science, D. Reidel, Dordrecht-Holland, pp. 215–235. · Zbl 0491.03023
[93] Beltrametti, E. G., and G. Cassinelli (1981), On the non-unique decomposability of quantum mixtures, inErice79, pp. 455–464.
[94] Beltrametti, E. G., andG. Cassinelli (1981 a),The logic of quantum mechanics, Addison-Wesley, Reading, Massachusetts. · Zbl 0491.03023
[95] Beltrametti, E. G., andB. C. van Fraassen (1981) (eds.),Current issues in quantum logic (Proceedings of the Workshop on Quantum Logic held in Erice, Sicily, December 2–9, 1979, Ettore Majorana Centre for Scientific Culture; Ettore Majorana Int. Sci. Series, Vol. 8) [Erice79], Plenum Press, New York.
[96] Benedetti, A., andG. Teppati (1971), The decision problem for mathematical structures of quantum theory,Lett. Nuovo Cimento 2, 695–696. · doi:10.1007/BF02799244
[97] Bennett, M. K. (1968), States on orthomodular lattices,J. Nat. Sci. Math. 8, 47–51. · Zbl 0167.28102
[98] Bennett, M. K. (1969), Graphical representation of orthomodular lattices,Notices Am. Math. Soc. 16, 789.
[99] Bennett, M. K. (1970), A finite orthomodular lattice which does not admit a full set of states,SIAM Rev. 12, 267–271. · Zbl 0204.51802 · doi:10.1137/1012047
[100] Bennett, M. K. (1970 a), Numerical invariants on orthomodular lattices,Notices Am. Math. Soc. 17, 207.
[101] Bennett, M. K. (1971), Generalized convexity lattices,J. Combin. Theory 10A, 140–144. · Zbl 0219.06008 · doi:10.1016/0097-3165(71)90017-3
[102] Bennett, M. K. (1986), Review of G. Kalmbach’sOrthomodular lattices, Found. Phys. 16, 1329–1331. · doi:10.1007/BF00732125
[103] Bennett, M. K., andG. Birkhoff (1985), Convexity lattices,Algebra Universalis 20, 1–26. · Zbl 0566.06005 · doi:10.1007/BF01236802
[104] Bennett, M. K., andD. J. Foulis (1990), Superposition in quantum and classical mechanics,Found. Phys. 20, 733–744. · doi:10.1007/BF01889458
[105] Benoist, R. W., J.-P. Marchand, andW. Yourgrau (1977), Statistical inference and quantum mechanical measurement,Found. Phys. 7, 827–833. · doi:10.1007/BF00708508
[106] Benoist, R. W., J.-P. Marchand, andW. Yourgrau (1978), Addendum to ”Statistical inference and quantum mechanical measurement,”Found. Phys. 8, 117–118. · doi:10.1007/BF00708490
[107] Beran, L. (1972), An approach to solvability in orthomodular lattices,Acta Univ. Carolin. Math. Phys. 13(2), 41–42. · Zbl 0299.06004
[108] Beran, L. (1973), On a construction of amalgamation. I,Acta Univ. Carolin. Math. Phys. 14(2), 31–39. · Zbl 0289.06006
[109] Beran, L. (1974), Modularity in generalized orthomodular lattices,Comment. Math. Univ. Carolin. 15, 189–193. · Zbl 0285.06006
[110] Beran, L. (1975), On solvability of generalized orthomodular lattices,Pacific J. Math. 57, 331–337. · Zbl 0318.06009
[111] Beran, L. (1975 a), Reflection and correflection in generalized orthomodular lattices,Acta Univ. Carolin. Math. Phys. 16(2), 57–61. · Zbl 0322.06011
[112] Beran, L. (1976), Three identities for ortholattices,Notre Dame J. Formal Logic 17, 251–252. · Zbl 0323.02062 · doi:10.1305/ndjfl/1093887530
[113] Beran, L. (1976 a), Formulas for orthomodular lattices,Stadia Sci. Math. Hungar. 11, 451–455. · Zbl 0431.06008
[114] Beran, L. (1978), Über gewisse Sätze vom Foulis-Holland-Type in Booleschen Zwerchverbänden,J. Keine Angew. Math. 297, 214–220. · Zbl 0363.06012 · doi:10.1515/crll.1978.297.214
[115] Beran, L. (1979), On finitely generated orthomodular lattices,Math. Nachr. 88, 129–139. · Zbl 0439.06005 · doi:10.1002/mana.19790880111
[116] Beran, L. (1979 a), Some applications of Boolean skew-lattices,Studia Sci. Math. Hungar. 14, 183–188. · Zbl 0494.06009
[117] Beran, L. (1980), Central and exchange properties of orthomodular lattices,Math. Nachr. 97, 247–251. · Zbl 0452.06009 · doi:10.1002/mana.19800970122
[118] Beran, L. (1981), Extension of a theorem of Gudder and Schelp to polynomials of orthomodular lattices,Proc. Am. Math. Soc. 81, 518–520. · Zbl 0458.06006 · doi:10.1090/S0002-9939-1981-0601720-4
[119] FnBeran, L. (1982), Boolean and orthomodular lattices–A short characterization via commutativity,Acta Univ. Carolin. Math. Phys. 23(1), 25–27. · Zbl 0525.06003
[120] Beran, L. (1985),Orthomodular lattices. Algebraic approach [Mathematics and its application (East European Series)], Reidel, Dordrecht, Holland.
[121] Beran, L. (1985 a), Special polynomials in orthomodular lattices,Comment. Math. Univ. Carolin. 26, 641–650. · Zbl 0583.06008
[122] Beran, L. (1987), Distributivity in finitely generated orthomodular lattices,Comment. Math. Univ. Carolin. 28, 433–435. · Zbl 0624.06008
[123] Beran, L. (1988), On some generalization of prime ideals in orthomodular lattices, inJán88, pp. 1–2. · Zbl 0677.06003
[124] Bernini, S. (1981), Quantum logic as an extension of classical logic, inErice79, pp. 161–171.
[125] Berzi, V., andA. Zecca (1974), A proposition-state structure. I. The superposition principle,Commun. Math. Phys. 35, 93–99. · doi:10.1007/BF01646609
[126] Bevis, J. (1969), Matrices over orthomodular lattices,Glasgow Math. J. 10, 55–59. · Zbl 0175.28601 · doi:10.1017/S0017089500000537
[127] Bevis, J. (1970), A note on a distributivity relation,J. Lond. Math. Soc. 2, 521–524. · Zbl 0206.29603
[128] Bevis, J. (1972), A distributivity property in an orthomodular lattice,Acta Math. Acad. Sci. Hungar. 23, 13–19. · Zbl 0263.06008 · doi:10.1007/BF01889899
[129] Bevis, J., andC. K. Martin (1969), Residuation theory on orthomodular lattices,Glasgow Math. J. 10, 60–65. · Zbl 0175.28602 · doi:10.1017/S0017089500000549
[130] Bigelow, J. C. (1976), Possible worlds foundations for probability,J. Philos. Logic 5, 299–320. · Zbl 0347.02020
[131] Bigelow, J. C. (1977), Semantics of probability,Synthese 36, 459–472. · Zbl 0373.02013 · doi:10.1007/BF00486108
[132] Bigelow, J. C. (1979), Quantum probability in logical space,Philos. Sci. 46, 223–243. · doi:10.1086/288863
[133] Binder, J. (1986), On the interplay of the centre and the state space in quantum logics,Rep. Math. Phys. 24, 337–341. · Zbl 0637.03061 · doi:10.1016/0034-4877(86)90007-8
[134] Binder, J. (1988), A Loomis-Sikorski theorem for logics,Math. Slovaca 38, 367–371. · Zbl 0664.03038
[135] Binder, J. (1988 a), A note on weak hidden variables, ČasopisPěst. Mat. 114, 53–56. · Zbl 0665.03046
[136] Binder, J., andM. Navara (1987), Quantum logics with lattice state spaces,Proc. Am. Math. Soc. 100, 688–693. · Zbl 0624.06009 · doi:10.1090/S0002-9939-1987-0894439-1
[137] Binder, J., andP. Pták (1990), A representation of orthomodular lattices,Acta Univ. Carolin. Math. Phys. 31(1), 21–26. · Zbl 0778.06010
[138] Birkhoff, G. (1948),Lattice theory (American Mathematical Society Colloquium Publications, Vol. XXV), American Mathematical Society, New York. · Zbl 0033.10103
[139] Birkhoff, G. (1961), Lattices in applied mathematics,Am. Math. Soc. Proc. Pure Math. 2, 155–184.
[140] Birkhoff, G. (1985). · Zbl 0566.06005 · doi:10.1007/BF01236802
[141] Birkhoff, G., andJ. von Neumann (1936), The logic of quantum mechanics,Ann. Math. 37, 823–843; reprinted in Hooker, C. A. (1975), pp. 1–26. · JFM 62.1061.04 · doi:10.2307/1968621
[142] Bjørnestad, Ø. (1974), A note on the so-called yes-no experiments and the foundations of quantum mechanics,Synthese 29, 243–253; reprinted in Suppes, P. (1976), pp. 235–245. · doi:10.1007/BF00484960
[143] Bodiou, G. (1957), Probabilité sur un treillis non modulaire,Publ. Inst. Stat. Univ. Paris 6, 11–25. · Zbl 0087.13003
[144] Bohm, D. (1971), Quantum theory as an indication of a new order in physics. Part A. The development of new orders shown through the history of physics,Found. Phys. 1, 359–381. · doi:10.1007/BF00708585
[145] Bohm, D. (1973), Quantum theory as an indication of a new order in physics. Part B. Implicate and explicate order in physical law,Found. Phys. 3, 139–168. · doi:10.1007/BF00708436
[146] Bohm, D., andJ. Bub (1966), A refutation of the proof by Jauch and Piron that hidden variables can be excluded in quantum mechanics,Rev. Mod. Phys. 38, 470–475. · Zbl 0152.23701 · doi:10.1103/RevModPhys.38.470
[147] Bohm, D., andJ. Bub (1968), On hidden variables–A reply to comments by Jauch and Piron and by Gudder,Rev. Mod. Phys. 38, 470–475. · Zbl 0152.23701 · doi:10.1103/RevModPhys.38.470
[148] Bohm, D., andB. J. Hiley (1981), On a quantum algebraic approach to a generalized phase space,Found. Phys. 11, 179–203. · doi:10.1007/BF00726266
[149] Bohm, D., andB. J. Hiley (1981 a), Nonlocality in quantum theory understood in terms of Einstein’s nonlinear field approach,Found. Phys. 11, 529–546. · doi:10.1007/BF00726935
[150] Bolyai33 see. (1983).
[151] Born, R. (1982), Kausalität und Quantenlogik,Phil. Natur. 19, 583–600. · Zbl 1171.81306
[152] Born, R. (1983), Physikalische Semantik: Kausalität kontra Quantenlogik, in Weingartner, P., and J. Czermak (eds.),Epistemology and philosophy of science, (Proceedings of the 7th International Wittgenstein Symposium, Kirchberg am Wechsel, Austria, August 22–29, 1982), Reidel/Hölder-Pichler-Tempsky, Dordrecht, Holland/Vienna, pp. 416–422.
[153] .
[154] Boyce, S. (1970). · doi:10.1007/BF00674006
[155] Brabec, J. (1979), Compatibility in orthomodular posets,Časopis Pěst. Mat. 104, 149–153. · Zbl 0416.06004
[156] Brabec, J., andP. Pták (1982), On compatibility in quantum logic,Found. Phys. 12, 207–212. · doi:10.1007/BF00736849
[157] Braunstein, S. L., andC. M. Caves (1988), Quantum rules: An effect can have more than one operation,Found. Phys. Lett. 1, 3–12. · doi:10.1007/BF00661312
[158] Brody, T. A. (1984), On quantum logic,Found. Phys. 14, 409–430. · doi:10.1007/BF00738809
[159] Brown, C. C. (1968), On the finite measures on the closed subspaces of a Hilbert space,Proc. Am. Math. Soc. 19, 470–472. · Zbl 0157.20903 · doi:10.1090/S0002-9939-1968-0225174-9
[160] Brown, J., andJ. Greechie (1974), Reductions and level products of orthomodular posets,Not. Am. Math. Soc. 21, A-45.
[161] Bruns, G. (1967) see Banaschewski, B., and G. Bruns (1967).
[162] Bruns, G. (1976), Free ortholattices,Can. J. Math. 28, 977–985. · Zbl 0353.06001 · doi:10.4153/CJM-1976-095-6
[163] Bruns, G. (1978), A finiteness criterion for orthomodular lattices,Can. J. Math. 30, 315–320. · Zbl 0384.06013 · doi:10.4153/CJM-1978-028-4
[164] Bruns, G. (1979), Block-finite orthomodular lattices,Can. J. Math. 31, 961–985. · Zbl 0429.06002 · doi:10.4153/CJM-1979-090-6
[165] Bruns, G. (1983), Varieties of modular ortholattices,Houston J. Math. 9, 1–7. · Zbl 0518.06007
[166] Brans, G. (1984), Orthomodular lattices, in Pouzet, M., and D. Richards (eds.),Orders: Descriptions and roles, North-Holland, Amsterdam, pp. 99–102.
[167] Bruns, G., andR. Greechie (1982), Some finiteness conditions for orthomodular lattices,Can. J. Math. 34, 535–549. · Zbl 0494.06008 · doi:10.4153/CJM-1982-038-2
[168] Bruns, G., andR. Greechie (1982 a), Orthomodular lattices which can be covered by finitely many blocks,Can. J. Math. 34, 696–699. · Zbl 0493.06008 · doi:10.4153/CJM-1982-047-1
[169] Bruns, G., andR. Greechie (1990), Blocks and commutators in orthomodular lattices,Algebra Universalis,27, 1–9. · Zbl 0694.06006 · doi:10.1007/BF01190249
[170] Bruns, G., andG. Kalmbach (1971), Varieties of orthomodular lattices,Can. J. Math. 23, 802–810. · Zbl 0278.06003 · doi:10.4153/CJM-1971-089-1
[171] Bruns, G., andG. Kalmbach (1972), Varieties of orthomodular lattices. II,Can. J. Math. 24, 328–337. · Zbl 0278.06004 · doi:10.4153/CJM-1972-027-4
[172] Bruns, G., andG. Kalmbach (1973), Some remarks on free orthomodular lattices, in Schmidt, J.,et al. (eds.),Proceedings of the Houston lattice theory conference, University of Houston, Houston, Texas, pp. 397–408.
[173] Bub, J. (1966, 1968). · Zbl 0152.23701 · doi:10.1103/RevModPhys.38.470
[174] Bub, J. (1969), What is a hidden variable theory of quantum phenomena?,Int. J. Theor. Phys. 2, 101–123. · doi:10.1007/BF00669559
[175] Bub, J. (1973), On the completeness of quantum mechanics, inOntario71, pp. 1–65.
[176] Bub, J. (1973 a), On the possibility of a phase-space reconstruction of quantum statistics: A refutation of the Bell-Wigner locality argument,Found. Phys. 3, 29–44. · doi:10.1007/BF00708598
[177] Bub, J. (1973 b), Under the spell of Bohr,Br. J. Philos. Sci. 24, 78–90. · doi:10.1093/bjps/24.1.78
[178] Bub, J. (1974),The interpretation of quantum mechanics, Reidel, Dordrecht, Holland.
[179] Baub, J. (1976), The statistics on non-Boolean event structures, inOntario73III, pp. 1–16.
[180] Bub, J. (1976 a), Hidden variables and locality,Found. Phys. 6, 511–525. · doi:10.1007/BF00715105
[181] Bub, J. (1976 b), Randomness and locality in quantum mechanics, in Suppes, P. (1976), pp. 397–420. [168] · Zbl 0345.60050
[182] Bub, J. (1977), von Neumann’s projection postulate as a probability conditionalization rule in quantum mechanics,J. Philos. Logic 6, 381–390. · Zbl 0366.02016 · doi:10.1007/BF00262075
[183] Bub, J. (1977 a), What is philosophically interesting about quantum mechanics?, inOntario75, pp. 69–79.
[184] Bub, J. (1979), Conditional probabilities in non-Boolean possibility structures, in Hooker, C. A. (1979), pp. 209–226. [171]
[185] Bub, J. (1979 a), The measurement problem in quantum mechanics, inFermi77, pp. 71–124.
[186] Bub, J. (1979 b), Some reflections on quantum logic and Schrödinger’s cat,Br. J. Philos. Sci. 30, 27–39. · Zbl 0442.03040 · doi:10.1093/bjps/30.1.27
[187] Bub, J. (1980), Comment on ”Locality and the algebraic structure of quantum mechanics,” in Suppes, P. (1980), pp. 149–153. [174]
[188] Bub, J. (1981), Hidden variables and quantum logic–A sceptical review,Erkenntnis 16, 275–293. · doi:10.1007/BF00219823
[189] Bub, J. (1981 a), What does quantum logic explain?, inErice79, pp. 89–100.
[190] Bub, J. (1982), Quantum logic, conditional probability, and interference,Philos. Sci. 49, 402–421. · doi:10.1086/289068
[191] Bub, J. (1985), On the nature of randomness in quantum mechanics or how to count quantum logically, inCologne84, pp. 45–59.
[192] Bub, J. (1989), On Bohr’s response to EPR: A quantum logical analysis,Found. Phys. 19, 793–805. · doi:10.1007/BF01889301
[193] Bub, J. (1989 a), The philosophy of quantum mechanics,Br. J. Philos. Sci. 40, 191–211. · doi:10.1093/bjps/40.2.191
[194] Bub, J. (1990), On Bohr’s response to EPR: II,Found. Phys. 20, 929–941. · doi:10.1007/BF00738373
[195] Bub, J., and W. Demopoulos (1974), The interpretation of quantum mechanics, inBoston66/68, pp. 92–122.
[196] Bub, J., andW. Demopoulos (1976), Critical notice: Paradigms and paradoxes: The philosophical challenge of the quantum domain,Philosophia 6, 333–334. · doi:10.1007/BF02379933
[197] Bub, J., andV. Shiva (1978), Non-local hidden variables theories and Bell’s inequality, inPSA78, Vol. I, pp. 45–53.
[198] Bugajska, K. (1974), On the representation theorem for quantum logic,Int. J. Theor. Phys. 2, 93–99. · doi:10.1007/BF01807691
[199] Bugajska, K., andS. Bugajski (1972), On the axioms of quantum mechanics,Bull. Acad. Polon. Sci. Sci. Math. Astron. Phys. 20, 231–234.
[200] Bugajska, K., andS. Bugajski (1972 a), Hidden variables and 2-dimensional Hilbert space,Ann. Inst. Henri Poincaré A 16, 93–102.
[201] Bugajska, K., andS. Bugajski (1973), The lattice structure of quantum logics,Ann. Inst. Henri Poincaré A 19, 333–340.
[202] Bugajska, K., andS. Bugajski (1973 a), The projection postulate in quantum logic,Bull. Acad. Polon. Sci. Sci. Math. Astron. Phys. 21, 873–877.
[203] Bugajska, K., andS. Bugajski (1973 b), Description of physical systems,Rep. Math. Phys. 4, 1–20. · Zbl 0266.70003 · doi:10.1016/0034-4877(73)90010-4
[204] Bugajski, S. (1972, 1972a, 1973, 1973a,b).
[205] Bugajski, S. (1978), Probability implication in the logic of classical and quantum mechanics,J. Philos. Logic 7, 95–106. · Zbl 0378.02015 · doi:10.1007/BF00245923
[206] Bugajski, S. (1979), Measures on operational logics,Z. Naturforsch. 34a, 785–786.
[207] Bugajski, S. (1980), Only if ”acrobatic logic” is non-Boolean, inPSA80, Vol. I, pp. 264–271.
[208] Bugajski, S. (1981), The inner language of operational quantum mechanics, inErice79, pp. 283–299.
[209] Bugajski, S. (1982), What is quantum logic?,Studia Logica 41, 311–316. · Zbl 0539.03043 · doi:10.1007/BF00403330
[210] Bugajski, S. (1983), Languages and similarity,J. Philos. Logic 12, 1–18. · Zbl 0539.03044 · doi:10.1007/BF02329197
[211] Bugajski, S. (1983 a), Semantics in Banach spaces,Studia Logica 42, 81–88. · Zbl 0559.03017 · doi:10.1007/BF01418761
[212] Bugajski, S. (1985). · doi:10.1007/BF00671306
[213] Bugajski, S., andP. J. Lahti (1980), Fundamental principles of quantum theory,Int. J. Theor. Phys. 19, 499–514. · doi:10.1007/BF00671817
[214] Bugajski, S., andZ. Motyka (1981), Generalized Borel law and quantum probabilities,Int. J. Theor. Phys. 20, 263–268. · Zbl 0487.60034 · doi:10.1007/BF00670861
[215] Bunce, L. J., M. Navara, P. Pták, andJ. D. M. Wright (1985), Quantum logics with JauchPiron states,Q. J. Math. Oxford 36, 261–271. · Zbl 0585.03038 · doi:10.1093/qmath/36.3.261
[216] Bunce, L. J., andJ. D. M. Wright (1984), Quantum logics, state space geometry, and operator algebras,Commun. Math. Phys. 96, 345–348. · Zbl 0586.03049 · doi:10.1007/BF01214579
[217] Bunce, L. J., andJ. D. M. Wright (1985), Quantum measures and states on Jordan algebras,Commun. Math. Phys. 98, 187–202. · Zbl 0579.46049 · doi:10.1007/BF01220507
[218] Bunce, L. J., andJ. D. M. Wright (1985 a), Quantum logics and convex geometry,Commun. Math. Phys. 101, 87–96. · Zbl 0602.03018 · doi:10.1007/BF01212357
[219] Burghardt, F. J. (1980), Modal quantum logic and its dialogic foundation,Int. J. Theor. Phys. 19, 843–866. · Zbl 0453.03065 · doi:10.1007/BF00670507
[220] Burghardt, F. J. (1984), Modalities and quantum mechanics,Int. J. Theor. Phys. 23, 1171–1196. · Zbl 0567.03031 · doi:10.1007/BF02213426
[221] Busch, P., andP. J. Lahti (1985), A note on quantum theory, complementarity, and uncertainty,Philos. Sci. 52, 64–77. · doi:10.1086/289222
[222] Butrick, R. (1971), Putnam’s revolution,Philos. Sci. 38, 290–292. · doi:10.1086/288364
[223] Butts, R. E., andJ. Hintikka (1977) (eds.),Foundational problems in the special sciences (Part Two of the Fifth International Congress on Logic, Methodology, and Philosophy of Science, London, Ontario, Canada, 1975) [Ontario75], Reidel, Dordrecht, Holland
[224] Caianiello, E. R. (1980), Geometry from quantum mechanics,Nuovo Cimento 59B, 350–366.
[225] Caianiello, E. R. (1981), Quantum mechanics as curved phase space, inTutzing80, pp. 201–216.
[226] Cammack, L. A. (1975), A new characterization of orthomodular partially ordered sets,Mat. Vesnik 12, 319–328. · Zbl 0358.06017
[227] Cantoni, V. (1975), Generalized ”transition probability,”Commun. Math. Phys. 44, 125–128. · doi:10.1007/BF01608824
[228] Cantoni, V. (1976), Enveloping subspaces and the superposition of states,Commun. Math. Phys. 50, 241–244. · doi:10.1007/BF01609404
[229] Cantoni, V. (1977), The Riemannian structure on the states of quantum-like systems,Commun. Math. Phys. 56, 189–193. · Zbl 0374.53016 · doi:10.1007/BF01611503
[230] Cantoni, V. (1982), Generalized transition probability, mobility, and symmetries,Commun. Math. Phys. 87, 153–158. · Zbl 0514.70021 · doi:10.1007/BF01218559
[231] Cantoni, V. (1985), Superpositions of physical states: A metric viewpoint,Helv. Phys. Acta 58, 956–968.
[232] Cantoni, V. (1990), Intrinsic uncertainty relations, inJán90, pp. 7–12. · Zbl 0746.03051
[233] Cantoni, V., andA. Logli (1988), Proprietà intrinseche di un sistema fisico e relazioni di indeterminazione,Boll. Un. Mat. Ital. 2B, 267–278. · Zbl 0646.03058
[234] Carlson, J. W., andT. L. Hicks (1978), A characterization of inner product spaces,Math. Japonica 23, 371–373. · Zbl 0395.46018
[235] Carrega, J.-C., G. Chevalier, andR. Mayet (1984), Une classe de treillis orthomodulaires en liason avec une théorème de décomposition,C. R. Acad. Sci. Paris 299, 639–642. · Zbl 0572.06008
[236] Carrega, J.-C., G. Chevalier, andR. Mayet (1990), Direct decompositions of orthomodular lattices,Algebra Universalis 27, 480–496. · Zbl 0715.06006 · doi:10.1007/BF01188994
[237] Carrega, J.-C., andM. Fort (1983), Un problème d’exclusion de treillis orthomodulaires,C. R. Acad. Sci. Paris 296, 485–488. · Zbl 0526.06007
[238] Cartwright, N. D. (1974), van Fraassen’s modal model of quantum mechanics,Phil. Sci. 41, 199–202. · doi:10.1086/288585
[239] Cartwright, N. D. (1978), The only real probabilities in quantum mechanics, inPSA78, Vol. 1, pp. 54–59.
[240] Cartwright, N. D. (1979), Causal law and effective strategies,Noûs 13, 419–437.
[241] Cassinelli, G. (1972, 1973, 1976, 1977, 1979, 1980, 1981, 1981a) see Beltrametti, E. G., and G. Cassinelii (1972, 1973, 1976, 1977, 1979, 1980, 1981, 1981a).
[242] Cassinelli, G., andE. G. Beltrametti (1975), Ideal, first-kind measurements in a propositionstate structure,Commun. Math. Phys. 40, 7–13. · Zbl 0317.06008 · doi:10.1007/BF01614093
[243] Cassinelli, G., and E. G. Beltrametti, (1977), Quantum logics and ideal measurements of the first kind, inStrasbourg74, pp. 63–67. · Zbl 0383.03043
[244] Cassinelli, G., and P. Truini (1979), Toward a generalized probability theory: Conditional probabilities, inFermi77, pp. 125–133. · Zbl 0445.03036
[245] Cassinelli, G., andP. Truini (1984), Conditional probabilities on orthomodular lattices,Rep. Math. Phys. 20, 41–52. · Zbl 0564.60003 · doi:10.1016/0034-4877(84)90070-3
[246] Cassinelii, G., andP. Truini (1985), Quantum mechanics of the quaternionic Hilbert spaces based upon the imprimitivity theorem,Rep. Math. Phys. 21, 43–64. · Zbl 0587.46061 · doi:10.1016/0034-4877(85)90017-5
[247] Cassinelli, G., andN. Zanghí (1983), Conditional probabilities in quantum mechanics. I.-Conditioning with respect to a single event,Nuovo Cimento 73B, 237–245.
[248] Cassinelli, G., andN. Zanghí (1984), Conditional probabilities in quantum mechanics. II.-Additive conditional probabilities,Nuovo Cimento 79B, 141–154.
[249] Castell, L., M. Drieschner, andC. F. von Weizsäcker (1975) (eds.),Quantum theory and the structure of time and space (Papers presented at a conference held in Feldafing, July 1974) [Feldafing74], Carl Hanser Verlag, Munich, Germany.
[250] Castell, L., andC. F. von Weizsäcker (1979, 1981, 1983) (eds.),Quantum theory and the structure of time and space, Vols. 3, 4, 5 (Papers presented at conferences held in Tutzing, July 1978, 1980, 1982) [Tutzing78, 80, 82], Carl Hanser Verlag, Munich, Germany.
[251] Catlin, D. E. (1968), Spectral theory in quantum logics,Int. J. Theor. Phys. 1, 285–297; reprinted in Hooker, C. A. (1979), pp. 3–16. · doi:10.1007/BF00668669
[252] Catlin, D. E. (1968 a), Irreducibility conditions on orthomodular lattices,J. Nat. Sci. Math. 8, 81–87. · Zbl 0167.01803
[253] Catlin, D. E. (1969), Implicative pairs in orthomodular lattices,Caribbean J. Sci. Math. 1, 69–79.
[254] Catlin, D. E. (1971), Cyclic atoms in orthomodular lattices,Proc. Am. Math. Soc. 30, 412–418. · Zbl 0234.06005 · doi:10.1090/S0002-9939-1971-0285457-3
[255] Cattaneo, G. (1980), Fuzzy events and fuzzy logics in classical information systems,J. Math. Anal. Appl. 75, 523–548. · Zbl 0447.94062 · doi:10.1016/0022-247X(80)90099-2
[256] Cattaneo, G. (1983), Canonical embedding of an abstract quantum logic into the partial Baer*-ring of complex fuzzy events,Fuzzy Sets Syst. 9, 179–198. · Zbl 0537.03046 · doi:10.1016/S0165-0114(83)80017-7
[257] Cattaneo, G. (1990), Quantum fuzzy intuitionistic (Brower-Zadeh) posets, inJán90, pp. 17–26.
[258] Cattaneo, G., C. Dalla Pozza, C. Garola, andG. Nisticò (1988), On the logical foundations of the Jauch-Piron approach to quantum physics,Int. J. Theor. Phys. 27, 1313–1349. · Zbl 0661.03051 · doi:10.1007/BF00671312
[259] Cattaneo, G., G. Franco, andG. Marino (1987), Ordering on families of subspaces of preHilbert spaces and Dacey pre-Hilbert spaces,Boll. Un. Mat. Ital B(7) 1, 167–183. · Zbl 0637.46025
[260] Cattaneo, G., C. Garola, andG. Nisticò (1989), Preparation-effect versus question-proposition structures,Phys. Essays 2, 197–216. · doi:10.4006/1.3035866
[261] Cattaneo, G., andA. Manià (1974), Abstract orthogonality and orthocomplementation,Proc. Comb. Philos. Soc. 76, 115–132. · Zbl 0295.06007 · doi:10.1017/S0305004100048763
[262] Cattaneo, G., andG. Marino (1984), Brouwer-Zadeh posets and fuzzy set theory, in Di Nola, A., and A. Ventre (eds.),Proceedings of the First Napoli Meeting on Fuzzy Systems, Napoles, Italy, pp. 34–42.
[263] Cattaneo, G., andG. Marino (1986), Some interesting posets of subspaces of pre-Hilbert space,Rend. Sem. Mat. Fis. Milano 53, 69–74. · Zbl 0599.46023 · doi:10.1007/BF02924885
[264] Cattaneo, G., andG. Marino (1988), Non-usual orthocomplementations on partially ordered sets and fuzziness,Fuzzy Sets Syst. 25, 107–123. · Zbl 0631.06005 · doi:10.1016/0165-0114(88)90104-2
[265] Cattaneo, G., andG. Nisticò (1984), Orthogonality and orthocomplementations in the axiomatic approach to quantum mechanics: Remarks about some critiques,J. Math. Phys. 25, 513–531. · Zbl 0547.03044 · doi:10.1063/1.526201
[266] Cattaneo, G., andG. Nisticò (1985), Complete effect-preparation structures: Attempt of a unification of two different approaches to axiomatic quantum mechanics,Nuovo Cimento 90B, 161–183.
[267] Cattaneo, G., andG. Nisticò (1986), Semantical structures for fuzzy logics: An introductory approach, in Di Nola, A., and A. Ventre (eds.),Mathematics of fuzzy systems (ISR Series, Vol. 88), Verlag TÜV Rheinland, Köln, pp. 33–50.
[268] Cattaneo, G., andG. Nisticò (1986 a), Completeness of inner product spaces with respect to splitting subspaces,Lett. Math. Phys. 11, 15–20. · Zbl 0601.46026 · doi:10.1007/BF00417459
[269] Cattaneo, G., andG. Nisticò (1987), Algebraic properties of complex fuzzy events in classical and in quantum information systems,J. Math. Anal. Appl. 122, 265–299. · Zbl 0621.94030 · doi:10.1016/0022-247X(87)90358-1
[270] Cattaneo, G., andG. Nisticò (1989), Brower-Zadeh posets and three-valued Lukasiewicz posets,Fuzzy Sets Syst. 33, 165–190. · Zbl 0682.03036 · doi:10.1016/0165-0114(89)90239-X
[271] Cattaneo, G., andG. Nisticò (1990), A note on Aerts’ description of separated entities,Found. Phys. 20, 119–132. · doi:10.1007/BF00732938
[272] Caves, C. M. (1988) see Braunstein, S. L., and C. M. Caves (1988).
[273] Cegła, W. (1981), Causal logic of Minkowski space-time, inErice79, pp. 419–424.
[274] Cegła, W., andA. Z. Jadczyk (1977), Causal logic of Minkowski space,Commun. Math. Phys. 57, 213–217. · Zbl 0393.03046 · doi:10.1007/BF01614163
[275] Cegła, W., andB. Jancewicz (1977), Representations of relativistic causality structure by an operator density current,Rep. Math. Phys. 11, 53–63. · Zbl 0357.02053 · doi:10.1016/0034-4877(77)90017-9
[276] Cerofolini, G. (1980), Quantum and subquantum mechanics,Nuovo Cimento 50B, 286–300.
[277] Cerofolini, G. (1980 a), On the nature of the subquantum medium,Lett. Nuovo Cimento 29, 305–309. · doi:10.1007/BF02743307
[278] Chechini, C. (1982) see Accardi, L., and C. Chechini (1982).
[279] Chen, E. (1971), Operator algebra and axioms of measurements,J. Math. Phys. 12, 2364–2371. · Zbl 0235.46091 · doi:10.1063/1.1665544
[280] Chen, E. (1973), Facial aspect of superposition principle in algebraic quantum theory,J. Math. Phys. 14, 1462–1465. · doi:10.1063/1.1666204
[281] Chevalier, G. (1983), Relations binaires et congruences dans un treillis orthomodulaire,C. R. Acad. Sci. Paris 296, 785–788. · Zbl 0528.06011
[282] Chevalier, G. (1983 a), Sur un théorème de décomposition dans les TOM, in Fort, M. (1982/ 1985), pp. 42–44.
[283] Chevalier, G. (1984) see Carrega, J.-C, G. Chevalier, and R. Mayet (1984).
[284] Chevalier, G. (1984 a), Les congruences d’un treillis orthomodulaire de projection,C. R. Acad. Sci. Paris 299, 731 -734. · Zbl 0572.20050
[285] Chevalier, G. (1988), Semiprime ideals in orthomodular lattices,Comment. Math. Univ. Carolin. 29, 379–386. · Zbl 0655.06008
[286] Chevalier, G. (1988 a), Orthomodular spaces and Baer*-rings, inJán88, pp. 7–14.
[287] Chevalier, G. (1989), Commutators and decompositions of orthomodular lattices,Order 6, 181–194. · Zbl 0688.06006 · doi:10.1007/BF02034335
[288] Chevalier, G. (1990), The relative center property in orthomodular lattices, inJán90, pp. 27–33.
[289] Chevalier, G. (1990 a), Around the relative center property in orthomodular lattices,Proc. Am. Math. Soc. 112, 935–948. · Zbl 0795.06010 · doi:10.1090/S0002-9939-1991-1055767-3
[290] Chevalier, G., and M. Fort (1983/1984), Treillis orthomodulaires avec un nombre fini de commutateurs, in Fort, M. (1982/1985), pp. 38–41.
[291] Chiara, Dalla, M. L.. · Zbl 0333.02024 · doi:10.1007/BF02120877
[292] Chilin, V. I. (1978), Continuous valuations on logics [in Russian],Dokl. Akad. Nauk UzSSR 6, 6–8. · Zbl 0449.03021
[293] Chovanec, F. (1988, 1988a) see Dvurecenskij, A., and V. Chovanec (1988, 1988a).
[294] Chovanec, F. (1989), Compatibility in quasi-orthocomplemented posets,Bull. Sous-Ensembl Flous Appl. 38, 28–31.
[295] Chovanec, F. (1990), Compatibility theorem for quasi-orthocomplemented posets, inJán90, pp. 34–37. · Zbl 0735.03030
[296] Christensen, E. (1982), Measures on projections and physical states,Commun. Math. Phys. 86, 529–538. · Zbl 0507.46052 · doi:10.1007/BF01214888
[297] Church, A. (1937), Review of G. Birkoff and J. von Neumann, ”The logic of quantum mechanics,”J. Symbolic Logic 2, 44–45.
[298] Cirelli, R., andP. Cotta-Ramusino (1973), On the isomorphism of a ’quantum logic’ with the logic of the projection in a Hilbert space,Int. J. Theor. Phys. 8, 11–29. · doi:10.1007/BF00671575
[299] Cirelli, R., P. Cotta-Ramusino, andE. Novati (1974), On the isomorphism of a quantum logic with the logic of the projection in a Hilbert space. II,Int. J. Theor. Phys. 11, 135–144. · doi:10.1007/BF01811039
[300] Cirelli, R., andF. Gallone (1973), Algebra of observables and quantum logic,Ann. Inst. Henri Poincaré A 19, 297–331. · Zbl 0294.46050
[301] Clark, I. D. (1973), An axiomatisation of quantum logic,J. Symbolic Logic 38, 389–392. · Zbl 0276.02015 · doi:10.2307/2273030
[302] Cohen, D. W. (1987), Quantum theory, inEncyclopedia of science and technology, Vol. II, Academic Press, New York.
[303] Cohen, D. W. (1989),An introduction to Hilbert space and quantum logic, Springer-Verlag, New York. · Zbl 0664.46021
[304] Cohen, D. W., andJ. Henle (1985), Ultimate stochastic entities,Int. J. Theor. Phys. 24, 329–341. · Zbl 0566.03035 · doi:10.1007/BF00670801
[305] Cohen, D. W., andG. T. Rüttimann (1985), On blocks in quantum logics,Rep. Math. Phys. 22, 113–123. · Zbl 0607.03018 · doi:10.1016/0034-4877(85)90010-2
[306] Cohen, D. W., andG. Svetlichny (1987), Minimal support in quantum logics and Hilbert space,Int. J. Theor. Phys. 26, 435–450. · Zbl 0642.03035 · doi:10.1007/BF00668776
[307] Cohen, R. S., C. A. Hooker, A. C. Michalos, andJ. W. van Evra (1976) (eds.),PSA 1974 Proceedings of the 1974 Biennial Meeting of the Philosophy of Science Association [PSA74], (Boston Studies in the Philosophy of Science, Vol. 32; Synthese library, Vol. 101), Reidel, Dordrecht, Holland. · Zbl 0333.00005
[308] Cohen, R. S., andM. W. Wartofsky (1969) (eds.),Proceedings of the Boston Colloquium for the Philosophy of Science 1966/1968 [Boston66/68], (Boston Studies in the Philosophy of Science, Vol. 5), Reidel, Dordrecht, Holland. · Zbl 0157.32505
[309] Cohen, R. S., andM. W. Wartofsky (1974) (eds.),Logical and epistemological studies in contemporary physics (Boston Studies in the Philosophy of Science, Vol. 13), Reidel, Dordrecht, Holland.
[310] Cole, E. A. B. (1973), Perception and operation in the definition of observable,Int. J. Theor. Phys. 8, 155–170. · doi:10.1007/BF00680226
[311] Collins, R. E. (1970), Generalized quantum theory,Phys. Rev. D 1, 379–389. · Zbl 0194.58303 · doi:10.1103/PhysRevD.1.379
[312] Colloq. Math. Soc. János Bolyai 33 (1983), Huhn, A. P., and E. T. Schmidt (eds.),Contributions to lattice theory, North-Holland, Amsterdam.
[313] Colodny, R. H. (1972) (ed.),Paradigms and paradoxes. The philosophical challenge of the quantum domain (University of Pittsburgh Series in the Philosophy of Science, Vol. 5), University of Pittsburgh Press, Pittsburgh, Pennsylvania.
[314] Cologne78 see Mittelstaedt, P., and J. Pfarr (1980).
[315] Cologne84 see Mittelstaedt, P., and E.-W. Stachow (1985).
[316] Cdook, T. A. (1975), Geometry of infinite quantum logic,Notices Am. Math. Soc. 22, A338.
[317] Cook, T. A. (1975 a), Hahn-Jordan decomposition theorem in infinite quantum logics,Notices Am. Math. Soc. 22, A183.
[318] Cook, T. A. (1977) see Béaver, O. R., and T. A. Cook (1977).
[319] Cook, T. A. (1978), The geometry of generalized quantum logics,Int. J. Theor. Phys. 17, 941–955. · Zbl 0434.03044 · doi:10.1007/BF00678422
[320] Cook, T. A. (1978 a), The Nikodym-Hahn-Vitale-Saks theorem for states on a quantum logic, inLoyola77, pp. 275–286.
[321] Cook, T. A. (1981), Some connections for manuals of empirical logic to functional analysis, inMarburg79, pp. 29–34. · Zbl 0475.03037
[322] Cook, T. A. (1985), Banach spaces of weights on quasimanuals,Int. J. Theor. Phys. 24, 1113–1131. · Zbl 0579.46006 · doi:10.1007/BF00671309
[323] Cook, T. A. (1986), Riesz spaces and quantum logics, inProceedings of the Conference on Riesz Spaces, Positive Operators, and Applications (Oxford, Mississippi, 1986), University of Mississippi, Oxford, Mississippi, pp. 4–9.
[324] Cook, T. A. (1990). · doi:10.1007/BF01889697
[325] Cook, T. A., andG. T. Rüttimann (1985), Symmetries on quantum logics,Rep. Math. Phys. 21, 121–126. · Zbl 0591.03047 · doi:10.1016/0034-4877(85)90024-2
[326] Cooke, R. M. (1979), The Friedman-Putnam realism,Epistemol. Lett. 24, 37–39.
[327] Cooke, R. M., andJ. Hilgevoord (1980), The algebra of physical magnitudes,Found. Phys. 10, 363–373. · doi:10.1007/BF00708739
[328] Cooke, R. M., and J. Hilgevoord (1981), A new approach to equivalence in quantum logic, inErice79, pp. 101–113.
[329] Cooke, R., M. Keane, andW. Moran (1985), An elementary proof of Gleason’s theorem,Math. Proc. Camb. Philos. Soc. 98, 117–128. · Zbl 0575.46051 · doi:10.1017/S0305004100063313
[330] Cooke, R. M., andM. van Lambalgen (1983), The representation of Takeuti’s operator,Studia Logica 42, 407–415. · Zbl 0546.03035 · doi:10.1007/BF01371629
[331] Cooke, R. M., andM. van Lambalgen (1984), Correction: ”The representation of Takeuti’s operator,”Studia Logica 43, 202. · Zbl 0546.03035
[332] Cooke, R. M., and M. van Lambalgen (1985), Lattice valued commutativity measures, inCologne84, pp. 147–159.
[333] Cornette, W. M., andS. P. Gudder (1974), The mixture of quantum states,J. Math. Phys. 15, 842–850. · doi:10.1063/1.1666739
[334] Cotta-Ramusino, P. (1973).
[335] Cotta-Ramusino, P. (1974). · doi:10.1007/BF01811039
[336] Coulson, T. J. (1987).
[337] Crawford, C. G. (1985), Coherency and the construction of finite manuals from event structures,Congr. Numer. 50, 137–153. · Zbl 0594.03045
[338] Croisot, R. (1951), Contribution a l’étude des treillis semi-modulaires de longueur infinie,Ann. Sci. Ecole Norm. Sup. 68, 203–265. · Zbl 0045.01001
[339] Crown, G. D. (1970), On the coordinatization theorem of Janowitz,Bull. Soc. R. Sci. Liège 39, 448–450. · Zbl 0207.02903
[340] Crown, G. D. (1972), Some connections between orthogonality spaces and orthomodular lattices,Caribbean J. Sci. Math. 2, 17–24.
[341] Crown, G. D. (1975), On some orthomodular posets of vector bundles,J. Nat. Sci. Math. 15, 11–25. · Zbl 0379.18005
[342] Crown, G. D. (1976), A note on distributive sublattices of an orthomodular lattice,J. Nat. Sci. Math. 16, 72–79. · Zbl 0382.06009
[343] Cushen, C., andR. Hudson (1971), A quantum-mechanical central limit theorem,J. Appl. Prob. 8, 454–469. · Zbl 0224.60049 · doi:10.2307/3212170
[344] Czelakowski, J. (1974), Logic based on partial Boolean{\(\sigma\)}-algebras (1),Studia Logica 33, 370–396. · Zbl 0331.02038 · doi:10.1007/BF02123378
[345] Czelakowski, J. (1975), Logic based on partial Boolean{\(\sigma\)}-algebras (2),Studia Logica 34, 69–86. · Zbl 0331.02039 · doi:10.1007/BF02314425
[346] Czelakowski, J. (1978), On extending of partial Boolean algebras to partial*-algebras,Colloq. Math. 40, 14–21. · Zbl 0428.06009
[347] Czelakowski, J. (1979), Partial Boolean algebras in a broader sense,Studia Logica 38, 1–16. · Zbl 0415.03052 · doi:10.1007/BF00493669
[348] Czelakowski, J. (1979 a), On{\(\sigma\)}-distributivity,Colloq. Math. 41, 13–24. · Zbl 0424.03032
[349] Czelakowski, J. (1981), Partial Boolean algebras in a broader sense as a semantics for quantum logic,Rep. Math. Logic 39, 19–43. · Zbl 0472.03049
[350] Czelakowski, J. (1981 a), Partial referential matrices for quantum logics, inErice79, pp. 131–146.
[351] Czkwianianc, E. (1988), Joint distributions and compatibility of observables in quantum logic,Math. Slovaca 38, 361–366. · Zbl 0662.03054
[352] Dacey, J. C. (1969), Orthomodular spaces and additive measurements,Caribbean J. Sci. Math. 1, 51–67.
[353] Dacey, J. C. (1990), Arithmetic tools for quantum logic,Found. Phys. 20, 605–619. · doi:10.1007/BF01883241
[354] Dähn, G. (1968), Attempt of an axiomatic foundation of quantum mechanics and more general theories. IV.,Commun. Math. Phys. 9, 192–211. · Zbl 0164.29502 · doi:10.1007/BF01645686
[355] Dähn, G. (1972), The algebra generated by physical filter,Commun. Math. Phys. 28, 109–122. · Zbl 0238.46069 · doi:10.1007/BF01645510
[356] Dähn, G. (1972 a), Symmetry of the physical probability function implies modularity of the lattice of decision effects,Commun. Math. Phys. 28, 123–132. · Zbl 0238.46070 · doi:10.1007/BF01645511
[357] Dähn, G. (1973), Two equivalent criteria for modularity of the lattice of all physical decision effects,Commun. Math. Phys. 30, 69–78. · Zbl 0248.46053 · doi:10.1007/BF01646689
[358] Dalla Chiara, M. L. (1976), A general approach to non-distributive logics,Studia Logica 35, 139–162. · Zbl 0327.02007 · doi:10.1007/BF02120948
[359] Dalla Chiara, M. L. (1977), Logical selfreference, set theoretical paradoxes, and the measurement problem in quantum mechanics,J. Philos. Logic 6, 331–347. · Zbl 0374.02003 · doi:10.1007/BF00262066
[360] Dalla Chiara, M. L. (1977 a), Quantum logic and physical and modalities,J. Philos. Logic 6, 391–404. · Zbl 0368.02033 · doi:10.1007/BF00262076
[361] Dalla Chiara, M. L. (1980), Logical foundation of quantum mechanics, in Agazzi, E. (ed.),Modern logic–A survey, Reidel, Dordrecht, Holland, pp. 331–351.
[362] Dalla Chiara, M. L. (1980 a), Is there a logic of empirical sciences?, in Dalla Chiara, M. L. (ed.),Italian studies in the philosophy of science, Reidel, Dordrecht, Holland, pp. 187–196.
[363] Dalla Chiara, M. L. (1981), Some metalogical pathologies of quantum logic, inErice79, pp. 147–159.
[364] Dalla Chiara, M. L. (1981 a), Physical implications in a Kripkean semantical approach to physical theories, inScientia83, pp. 37–52.
[365] Dalla Chiara, M. L. (1983), The relevance of quantum logic in the domain of nonclassical logic, inSalzburg83, pp. 7–10.
[366] Dalla Chiara, M. L. (1983 a), Some logical problems suggested by empirical theories, in Cohen R. S., and M. W. Wartofsky (eds.),Language, logic, and method, Reidel, Dordrecht, Holland, pp. 75–90.
[367] Dalla Chiara, M. L. (1985), Names and descriptions in quantum logic, inCologne84, pp. 189–202.
[368] Dalla Chiara, M. L. (1986), Quantum logic, in Gabbay, D., and F. Guenthner (eds.),Handbook of philosophical logic, Vol. III, Reidel, Dordrecht, Holland, pp. 427–469. · Zbl 0875.03084
[369] Dalla Chiara, M. L., andR. Giuntini (1989), Paraconsistent quantum logics,Found. Phys. 19, 891–904. · doi:10.1007/BF01889304
[370] Dalla Chiara, M. L., andP. A. Metelli (1982), Philosophy of quantum mechanics, inContemporary philosophy. A new survey, Martinus Nijhoff, The Hague, pp. 212–247.
[371] Dalla Chiara, M. L., andG. Toraldo di Francia (1973), A logical analysis of physical theories,Nuovo Cimento 3(1), 1–20. · Zbl 0327.02007
[372] Dalla Chiara, M. L., andG. Toraldo di Francia (1976), The logical dividing line between deterministic and indeterministic theories,Studia Logica 35, 1–5. · Zbl 0327.02007 · doi:10.1007/BF02120948
[373] Dalla Chiara, M. L., and G. Toraldo di Francia (1979), Formal analysis of physical theories, inFermi77, pp. 134–201. · Zbl 0446.00020
[374] Ddalla Chiara, M. L., and G. Toraldo di Francia (1985), ”Individuals,” ”properties,” and ”truths” in the EPR-paradox, inJoensuu85, pp. 379–402.
[375] Dalla Chiara, M. L., andG. Toraldo di Francia (1985 a), Individuals, kinds, and names,Versus 40, 31–50.
[376] Dalla Chiara, M. L., andG. Toraldo di Francia (1988), Time, possible worlds, and tensions in the logical analysis of microphysics, in Cellucci, C., and G. Sambin (eds.),Atti del Congresso: Temi e Prospettive della Logica e della Filosofia della Scienza Contemporanee, Vol. II, CLUEB, Bologna, Italy, pp. 57–79.
[377] Dalla Pozza, C. (1988). · Zbl 0661.03051 · doi:10.1007/BF00671312
[378] Daniel, W. (1984), The entropy of observables on quantum logic,Rep. Math. Phys. 19, 325–334. · Zbl 0591.03046 · doi:10.1016/0034-4877(84)90004-1
[379] Daniel, W. (1986), Review of Karl Kraus:States, effects, and operations. Fundamental notions of quantum theory, Berlin, 1983, Rep. Math. Phys. 24, 258–261. · doi:10.1016/0034-4877(86)90058-3
[380] Daniel, W. (1986 a), An axiomatic approach to quantum dynamical systems,Hadronic J. Suppl. 2, 825–849.
[381] Daubechics, I. (1978, 1978a, 1979, 1979a,b, 1983) see Aerts, D., and I. Daubechies (1978, 1978a, 1979, 1979a,b, 1983).
[382] Davey, B. A., W. Poguntke, andI. Rival (1975), A characterization of semidistributivity,Algebra Universalis,5, 72–75. · Zbl 0313.06002 · doi:10.1007/BF02485233
[383] Davey, B. A., andI. Rival (1976), Finite sublattices of three-generated lattices,J. Aust. Math. Soc. A 21, 171–178. · Zbl 0326.06003 · doi:10.1017/S1446788700017766
[384] Davies, E. (1968), On the Borel structure ofC *-algebras,Commun. Math. Phys. 8, 147–163. · Zbl 0153.44701 · doi:10.1007/BF01645802
[385] Davies, E. B. (1972), Example related to the foundations of quantum theory,J. Math. Phys. 13, 39–41. · Zbl 0229.02029 · doi:10.1063/1.1665846
[386] Davies, E. B., andJ. T. Lewis (1970), An operational approach to quantum probability,Commun. Math. Phys. 17, 239–260. · Zbl 0194.58304 · doi:10.1007/BF01647093
[387] Day, A. (1983), On some geometrical classes of rings and varieties of modular lattices,Algebra Universalis,17, 21–33. · Zbl 0536.06009 · doi:10.1007/BF01194511
[388] Day, A. (1983 a), Equational theories of projective geometries, inBolyai33, pp. 227–316.
[389] Day, A. (1985),Survey article: Applications of coordinatization in modular lattice theory: The legacy of J. von Neumann,Order 1, 295–300. · Zbl 0558.06007 · doi:10.1007/BF00383606
[390] Deliyannis, P. C. (1971), Theory of observables,J. Math. Phys. 10, 2114–2127. · Zbl 0194.28901 · doi:10.1063/1.1664810
[391] Deliyannis, P. C. (1971 a), Generalized hidden variable theorem,J. Math. Phys. 12, 248–254.
[392] Deliyannis, P. C. (1971 b), Density of states,J. Math. Phys. 12, 860–862. · Zbl 0219.02018 · doi:10.1063/1.1665657
[393] Deliyannis, P. C. (1972), Exact and simultaneous measurements,J. Math. Phys. 13, 474–477. · doi:10.1063/1.1666003
[394] Deliyannis, P. C. (1973), Vector space models of abstract quantum logics,J. Math. Phys. 14, 249–253. · Zbl 0259.02025 · doi:10.1063/1.1666304
[395] Deliyannis, P. C. (1975), Imbedding of Segal systems,J. Math. Phys. 16, 163–170. · doi:10.1063/1.522393
[396] Deliyannis, P. C. (1976), Superposition of states and the structure of quantum logics,J. Math. Phys. 17, 248–254. · Zbl 0339.02026 · doi:10.1063/1.522888
[397] Deliyannis, P. C. (1976 a), Conditioning of states,J. Math. Phys. 17, 653–659. · doi:10.1063/1.522958
[398] Deliyannis, P. C. (1978), Conditioning of states. II,J. Math. Phys. 19, 2341–2345. · doi:10.1063/1.523591
[399] Deliyannis, P. C. (1984), Quantum logics derived from asymmetric Mielnik forms,Int. J. Theor. Phys. 25, 217–226. · Zbl 0547.03043 · doi:10.1007/BF02080687
[400] Deliyannis, P. C. (1984 a), Geometrical models for quantum logics with conditioning,J. Math. Phys. 25, 2939–2946. · Zbl 0582.03051 · doi:10.1063/1.526043
[401] Demopoulos, W. (1974, 1976).
[402] Demopoulos, W. (1976), The possibility structure of physical systems, inOntario73III, pp. 55–80. · Zbl 0351.02024
[403] Demopoulos, W. (1976 a), Remark on a paper of Maczyński,Rep. Math. Phys. 9, 171–176. · Zbl 0353.02038 · doi:10.1016/0034-4877(76)90052-5
[404] Demopoulos, W. (1976 b), Fundamental statistical theories, in Suppes, P. (1976), pp. 421–431. · Zbl 0361.60089
[405] Demopoulos, W. (1976 c), Critical notice: C. A. Hooker (ed.), ”Contemporary research in the foundations and philosophy of quantum theory,”Synthese 33, 489–504.
[406] Demopoulos, W. (1976 d), What is the logical interpretation of quantum mechanics?, inPSA74, pp. 721–728.
[407] Demopoulos, W. (1977), Completeness and realism in quantum mechanics, inOntario75, pp. 81–88.
[408] Demopoulos, W. (1979), Boolean representations of physical magnitudes and locality,Synthese 42, 101–119. · Zbl 0435.03039 · doi:10.1007/BF00413707
[409] Demopoulos, W. (1980), Locality and the algebraic structure of quantum mechanics, in Suppes, P. (1980), pp. 119–144.
[410] de Muynck, W. M. (1990). · doi:10.1007/BF00731693
[411] Denecke, H.-M. (1977), Quantum logic of quantifiers,J. Philos. Logic 6, 405–413. · Zbl 0365.02018 · doi:10.1007/BF00262077
[412] de Obaldia, E., A. Shimony, and F. Wittel (1988), Amplification of Belifante’s argument for the nonexistence of dispersion-free states,Found. Phys. 18, 1013–1021.
[413] der Merwe, van, A. see van der Merwe, A. (ed).
[414] d’Espagnat, B. (1971) (ed.),Foundations of quantum mechanics (Proceedings of the International School of Physics ”Enrico Fermi,” Course IL, 1970) [Fermi70], Academic Press, New York.
[415] d’Espagnat, B. (1973), Quantum logic and non-separability, inTrieste72, pp. 714–735.
[416] d’Espagnat, B. (1989), Are there realistically interpretable theories?,J. Stat. Phys. 56, 747–766. · doi:10.1007/BF01016778
[417] Destouches, J.-L. (1948/1949), Intervention d’une logique de modalité dans une theorie physique,Synthese 7, 411–417 (1948/1949).
[418] Destouches, J.-L. (1956), Über den Aussagenkalkül der Experimentalaussagen,Arch. Math. Logik Grundlag. 2, 424–425. · Zbl 0070.24501
[419] Destouches-Février, P. (1945), Logique adaptée aux théories quantiques,C. R. Acad. Sci. Paris I A-B221, 287–288. · Zbl 0061.47110
[420] Destouches-Février, P. (1948/1949), Logique et théories physique,Synthese 7, 400–410 (1948/1949).
[421] Destouches-Février, P. (1951),La structure des théories physiques, Presse Universitaire de France, Paris. · Zbl 0045.29303
[422] Destouches-Février, P. (1952), Application des logiques modales en physique quantique,Theoria 1, 167–169.
[423] Destouches-Février, P. (1954), La logique des propositions experimentales,Appl. Sci. Log. Math. Paris 1954, 115–118. · Zbl 0058.24503
[424] Destouches-Février, P. (1959), Logical structure of physical theories, in Henkin, L. P. Suppes, and A. Tarski (eds.),The axiomatic method with special reference to geometry and physics (Studies in Logic and the Foundations of Physics), North-Holland, Amsterdam.
[425] Dichtl, M. (1981), There are loops of order three in orthomodular lattices,Arch. Math. 37, 285–286. · Zbl 0473.06006 · doi:10.1007/BF01234357
[426] Dichtl, M. (1981 a), Astroids and pasting,Algebra Universalis 18, 380–385. · Zbl 0546.06007 · doi:10.1007/BF01203371
[427] Dietz, U. (1985), A characterization of orthomodular lattices among ortholattices, inVienna84, pp. 99–101. · Zbl 0563.06008
[428] di Francia, Toraldo, G. see Toraldo di Francia, G.
[429] Dilworth, R. P. (1940), On complemented lattices,Tohoku Math. J. 47, 18–23. · Zbl 0023.10202
[430] Dilworth, R. P. (1945), Lattices with unique complements,Trans. Am. Math. Soc. 57, 123–154. · Zbl 0060.06103 · doi:10.1090/S0002-9947-1945-0012263-6
[431] Dilworth, R. P. (1950), The structure of relatively complemented lattices,Ann. Math. 51, 348–359. · Zbl 0036.01802 · doi:10.2307/1969328
[432] Dilworth, R. P. (1984), Aspects of distributivity,Algebra Universalis 18, 4–17. · Zbl 0541.06005 · doi:10.1007/BF01182245
[433] Dishkant, H. (1972), Semantics of the minimal logic of quantum mechanics,Studia Logica 30, 23–30; reprinted in Hooker, C. A. (1979), pp. 17–29. · Zbl 0268.02018 · doi:10.1007/BF02120818
[434] Dishkant, H. (1974), The first order predicate calculus based on the minimal logic of quantum mechanics,Rep. Math. Logic 3, 9–18. · Zbl 0356.02027
[435] Dishkant, H. (1977), The connective ”becoming” and the paradox of electron diffraction,Rep. Math. Logic 9, 15–21. · Zbl 0393.03045
[436] Dishkant, H. (1977 a), Imbedding of the quantum logic in the modal system of Brower,J. Symbolic Logic 42, 321–328. · Zbl 0381.03016 · doi:10.2307/2272861
[437] Dishkant, H. (1977 b), Logic of quantum mechanics, inWarsaw74, pp. 368–370. · Zbl 0393.03045
[438] Dishkant, H. (1978), An extension of the Lukasiewicz to the modal logic of quantum mechanics,Studia Logica 37, 145–155. · Zbl 0377.02026 · doi:10.1007/BF02124800
[439] Dishkant, S. (1980), Three propositional calculi of probability,Studia Logica 39, 49–61. · Zbl 0443.03015 · doi:10.1007/BF00373096
[440] Dombrowski, H. D., andK. Horneffer (1964), Der Begriff des physikalischen Systems in mathematischer Sicht,Nachr. Akad. Wiss. Göttingen 2, 67–100. · Zbl 0138.44605
[441] Domotor, Z. (1974), The probability structure of quantum mechanical systems,Synthese 29, 155–185; reprinted in Suppes, P. (1976), pp. 147–177. · Zbl 0327.60010 · doi:10.1007/BF00484956
[442] Dorling, J. (1976), Review of ”Bub, J. [1974]: The interpretation of quantum mechanics,”Br. J. Philos. Sci. 27, 295–297. · doi:10.1093/bjps/27.3.295
[443] Dorling, J. (1976), Review of ”Hooker, C. A. (ed.) [1973]: Contemporary research in the foundations of quantum theory,”Br. J. Philos. Sci. 27, 299–302.
[444] Dorling, J. (1976 a), Review of ”Cohen, R. S. and Wartofsky, M. W. (eds.) [1974]: Logical and epistemological studies in contemporary physics,”Br. J. Philos. Sci. 27, 297–299.
[445] Dorling, J. (1981), How to rewrite a stochastic dynamical theory so as to generate a measurement paradox, inErice79, pp. 115–118.
[446] Dorninger, D. (1985), Lattice operations between observables in axiomatic quantum mechanics,Int. J. Theor. Phys. 24, 951–955. · Zbl 0584.03043 · doi:10.1007/BF00671335
[447] Dorninger, D., H. Länger, andM. Maczyński (1983), Zur Darstellung von Observablen auf{\(\sigma\)}-stetigen Quantenlogiken,Österreich. Akad. Wiss. Math. Nat. KL Sitzungsber. Abt. II 192, 169–176. · Zbl 0557.03041
[448] Dravecký, J. (1984), On measurability of superpositions,Acta Math. Univ. Comenian. 44–45, 181–183. · Zbl 0586.28004
[449] Dravecký, J., V. Palko, andV. Palková (1987), On completion of measures on a q-{\(\sigma\)}-ring,Math. Slovaca 37, 37–42.
[450] Dravecký, J., andJ. Sipos (1980), On the additivity of Gudder integral,Math. Slovaca 30, 299–303. · Zbl 0444.28002
[451] Drieschner, M. (1974), The structure of quantum mechanics: Suggestions for a unified physics, inMarburg73, pp. 250–259.
[452] Drieschner, M. (1975), Lattice theory, groups, and space, inFeldafing74, pp. 55–69.
[453] Drieschner, M. (1977), Is (quantum) logic empirical?,J. Philos. Logic 6, 415–423. · Zbl 0369.02009 · doi:10.1007/BF00262078
[454] Duckenfield, C. J. (1969), A continuous geometry as a mathematical model for quantum mechanics,Comment. Math. Univ. Carolin. 10, 217–236. · Zbl 0208.27702
[455] Ddunn, J. M. (1980), Quantum mathematics, inPSA80, Vol. 2, pp. 512–531.
[456] Dupré, M. J. (1978), Duality forC *-algebras, inLoyola77, pp. 329–338.
[457] Dvurečenskij, A. (1976), On some properties of transformations of a logic,Math. Slovaca 26, 131–137.
[458] Dvurečenskij, A. (1978), Signed states on a logic,Math. Slovaca 28, 33–40.
[459] Ddvnrečenskij, A. (1978 a), On convergences of signed states,Math. Slovaca 28, 289–295.
[460] Dvurečenskij, A. (1979), Laws of large numbers and the central limit theorems on a logic,Math. Slovaca 29, 397–410.
[461] Dvurečenskij, A. (1980).
[462] Dvurečenskij, A. (1980 a), On a sum of observables in a logic,Math. Slovaca 30, 187–196.
[463] Dvurečenskij, A. (1981), On the extension properties for observables,Math. Slovaca 31, 149–153.
[464] Dvurečenskij, A. (1981 a), On m-joint distribution,Math. Slovaca 31, 347–352.
[465] Dvurečenskij, A. (1985), Gleason theorem for signed measures with infinite values,Math. Slovaca 35, 319–325. · Zbl 0584.46053
[466] Dvurečenskij, A. (1985 a).
[467] Dvurečenskij, A. (1986), On two problems of quantum logics,Math. Shvaca 36, 253–265. · Zbl 0616.03038
[468] Dvurečenskij, A. (1987), New look at Gleason’s theorem for signed measures,Int. J. Theor. Phys. 26, 295–305. · Zbl 0631.46065 · doi:10.1007/BF00668916
[469] Dvurečenskij, A. (1987 a), Hahn-Jordan decomposition for Gleason measures,Int. J. Theor. Phys. 26, 513–522. · Zbl 0631.46066 · doi:10.1007/BF00670090
[470] Dvurečenskij, A. (1987 b), On joint distribution in quantum logic. I. Compatible observables,Aplikace Matematiky 32, 427–435. · Zbl 0654.03050
[471] Dvurečenskij, A. (1987 c), On joint distribution in quantum logic. II. Noncompatible observables,Aplikace Matematiky 32, 436–450. · Zbl 0654.03051
[472] Dvurečenskij, A. (1987 d), Joint distributions of observables and measures with infinite values,Demonstratio Math. 20, 121–137.
[473] Dvurečenskij, A. (1987 e), Converse of Eilers-Horst theorem,Int. J. Theor. Phys. 26, 609–612. · Zbl 0631.46067 · doi:10.1007/BF00670571
[474] Dvurečenskij, A. (1988), Note on a construction of unbounded measures on a nonseparable Hilbert space logic,Ann. Inst. Henri Poincaré A 48, 297–310. · Zbl 0659.03041
[475] Dvurečenskij, A. (1988 a), Completeness of inner product spaces and quantum logic of splitting subspaces,Lett. Math. Phys. 15, 231–235. · Zbl 0652.46017 · doi:10.1007/BF00398592
[476] Dvurečenskij, A. (1988 b), Gleason’s theorem and its applications, inJán88, pp. 15–19.
[477] Dvurečenskij, A. (1989), Frame functions, signed measures, and completeness of inner product spaces,Acta Univ. Carolin. Math. Phys. 30(1), 41–49. · Zbl 0715.46031
[478] Dvurečenskij, A. (1989 a), States on families of subspaces of pre-Hilbert spaces,Lett. Math. Phys. 17, 19–24. · Zbl 0696.46023 · doi:10.1007/BF00420009
[479] Dvurečenskij, A. (1989 b), A state criterion of the completeness for inner product spaces,Demonstratio Math. 22, 1121–1128. · Zbl 0722.46010
[480] Dvurečenskij, A. (1989 c),1990).
[481] Dvurečenskij, A. (1990 a), Regular, finitely additive states and completeness of inner product spaces, inJán90, pp. 47–50. · Zbl 0752.46008
[482] Dvurečenskij, A. (1990 b), Frame function and completeness,Demonstratio Math. 515–519. · Zbl 0762.46014
[483] Dvurečenskij, A., andF. Chovanec (1988), Fuzzy quantum spaces and compatibility,Int. J. Theor. Phys. 27, 1069–1082. · Zbl 0657.60004 · doi:10.1007/BF00674352
[484] Dvurečenskij, A., and F. Chovanec (1988 a), Compatibility theorem in fuzzy quantum spaces, inJán88, pp. 20–24.
[485] Dvurečenskij, A., andF. Kôpka (1989), On the representation of observables for F-quantum spaces,Bull. Sous-Ensembl. Flous Appl. 38, 24–27.
[486] Dvurečenskij, A., andF. Kôpka (1990), On representation theorems for observables in weakly complemented posets,Demonstratio Math. 23, 911–920. · Zbl 0767.03032
[487] Dvurečenskij, A., andL. Mišik (1988), Gleason’s theorem and completeness of inner product spaces,Int. J. Theor. Phys. 27, 417–426. · Zbl 0663.46060 · doi:10.1007/BF00669390
[488] Dvurečenskij, A., T. Neubrunn, and S. Pulmannová (1990), Regular states and countable additivity on quantum logics,Proc. Am. Math. Soc. (to appear).
[489] Dvurečenskij, A., T. Neubrunn, andS. Pulmannová (1990 a), Finitely additive states and completeness of inner product spaces,Found. Phys. 20, 1091–1102. · doi:10.1007/BF00731854
[490] Dvurečenskij, A., S. Pulmannová (1980), On the sum of observables in a logic,Math. Slovaca 30, 393–399.
[491] Dvurečenskij, A., andS. Pulmannová (1981), Random measures on a logic,Demonstratio Math. 14, 305–320.
[492] Dvurečenskij, A., andS. Pulmannová (1982), On joint distributions of observables,Math. Slovaca 32, 155–166.
[493] Dvurečenskij, A., andS. Pulmannová (1984), Connection between joint distribution and compatibility,Rep. Math. Phys. 19, 349–359. · Zbl 0552.03041 · doi:10.1016/0034-4877(84)90007-7
[494] Dvurečenskij, A., andS. Pulmannová (1988), State on splitting subspaces and completeness of inner product spaces,Int. J. Theor. Phys. 27, 1059–1067. · Zbl 0661.46019 · doi:10.1007/BF00674351
[495] Dvurečenskij, A., andS. Pulmannová (1988 a) (eds.),Proceedings of the First Winter School on Measure Theory (Liptovský Ján, January 10–15, 1988)[Ján88], Slovak Academy of Sciences, Bratislava, Czechoslovakia.
[496] Dvurečenskij, A., andS. Pulmannova (1989), Type II joint distribution and compatibility of observables,Demonstratio Math. 22, 479–497.
[497] Dvurečenskij, A., andS. Pulmannova (1989 a), A signed measure completeness criterion,Lett. Math. Phys. 17, 253–261. · Zbl 0696.46024 · doi:10.1007/BF00401592
[498] Dvurečenskij, A., andS. Pulmannova (1990) (eds.),Proceedings of the Second Winter School on Measure Theory (Liptovský Ján, January 7–12, 1990)[Ján90], Slovak Academy of Sciences, Bratislava, Czechoslovakia.
[499] Dvurečenskij, A., andB. Riečan (1980), On the individual ergodic theorem on a logic,Comment. Math. Univ. Carolin. 21, 385–391.
[500] Dvurečenskij, A., andB. Riečan (1988), On joint observables for F-quantum spaces,Bull. Sous-Ensembl. Flous Appl. 35, 10–14.
[501] Dvurečenskij, A., andB. Riečan (1989), Fuzziness and comensurability,Fascic. Math. 22, 39–47.
[502] Dvurečenskij, A., andA. Tirpáková (1988), A note on a sum of observables on F-quantum spaces and its properties,Bull. Sous-Ensembl. Flous Appl. 35, 132–137.
[503] Dvurečenskij, A., andA. Tirpáková (1989), Ergodic theory on quantum spaces,Bull. Sous-Ensembl. Flous Appl. 37, 86–94.
[504] Dye, H. A. (1955), On the geometry of projections in certain operator algebras,Ann. Math. 61, 73–89. · Zbl 0064.11002 · doi:10.2307/1969620
[505] Eckmann, J.-P., andPh. Ch. Zabey (1969), Impossibility of quantum mechanics in a Hilbert space over a finite field,Helv. Phys. Ada 42, 420–424. · Zbl 0181.56601
[506] Edwards, C. M. (1970), The operational approach to algebraic quantum theory. I,Commun. Math. Phys. 16, 207–230. · Zbl 0187.25601 · doi:10.1007/BF01646788
[507] Edwards, C. M. (1971), Sets of simple observables in the operational approach to quantum theory,Ann. Inst. Henri Poincaré A 15, 1–14. · Zbl 0222.46043
[508] Edwards, C. M. (1971 a), Classes of operations in quantum theory,Commun. Math. Phys. 20, 26–56. · Zbl 0203.57001 · doi:10.1007/BF01646732
[509] Edwards, C. M. (1972), The theory of pure operations,Commun. Math. Phys. 24, 260–288. · Zbl 0227.46073 · doi:10.1007/BF01878476
[510] Edwards, C. M. (1974), The center of a physical system, inMarburg73, pp. 199–205.
[511] Edwards, C. M. (1975), Alternative axioms for statistical physical theories,Ann. Inst. Henri Poincaré A 22, 81–95. · Zbl 0327.46015
[512] Edwards, C. M., andG. T. Rüttimann (1985), On the facial structure of the unit balls in a GL-space and its dual,Math. Proc. Camb. Philos. Soc. 98, 305–322. · Zbl 0577.46007 · doi:10.1017/S0305004100063489
[513] Edwards, C. M., andG. T. Rüttimann (1985 a), Isometries of GL-spaces,J. Lond. Math. Soc. 31, 125–300. · Zbl 0577.46006 · doi:10.1112/jlms/s2-31.1.125
[514] Edwards, C. M., andG. T. Rüttimann (1988), Facial structure of the unit ball of aJBW *-triple,J. Lond. Math. Soc. 38, 317–332. · Zbl 0621.46043 · doi:10.1112/jlms/s2-38.2.317
[515] Edwards, C. M., andG. T. Rüttimann (1989), Inner ideals inW *-algebras,Mich. Math. J. 36, 147–159. · Zbl 0679.46047 · doi:10.1307/mmj/1029003887
[516] Edwards, C. M., andG. T. Rüttimann (1990), On conditional probability in GL spaces,Found. Phys. 20, 859–872. · doi:10.1007/BF01889694
[517] Eigenthaler, G., H. K. Kaiser, W. B. Müller, andW. Nöbauer (1983) (eds.),Contributions to general algebra 2-Proceedings of the Klagenfurt Conference, June 10–13, 1982 [Klagenfurt82], Hölder-Pichler-Tempsky/Teubner, Vienna/Stuttgart.
[518] Eigenthaler, G., H. K. Kaiser, W. B. Müller, andW. Nöbauer (1985) (eds.),Contributions to general algebra 3-Proceedings of the Vienna Conference, June 21–24, 1984 [Vienna84], Hölder-Pichler-Tempsky/Teubner, Vienna/Stuttgart.
[519] Eilers, M., andE. Horst (1975), The theorems of Gleason for nonseparable Hilbert spaces,Int. J. Theor. Phys. 13, 419–424. · Zbl 0345.46021 · doi:10.1007/BF01808324
[520] Emch, G. G. (1982), Quantum and classical mechanics on homogeneous Riemannian manifolds,J. Math. Phys. 23, 1785–1791. · Zbl 0514.70022 · doi:10.1063/1.525231
[521] Emch, G., andJ. M. Jauch (1965), Structures logiques et mathématiques en physique quantique,Dialectia 19, 259–279. · doi:10.1111/j.1746-8361.1965.tb00473.x
[522] Emch, G., andC. Piron (1963), Symmetry in quantum theory,J. Math. Phys. 4, 469–473. · Zbl 0113.21105 · doi:10.1063/1.1703978
[523] Erice79.
[524] Erwin, E. (1978), Quantum logic and the status of classical logic,Logique Analyse 21(82–83), 279–292.
[525] Essler, W. K., andG. Zoubek (1981), Piron’s approach to the foundations of quantum mechanics,Erkenntnis 16, 411–418. · doi:10.1007/BF00211382
[526] Evans, T. (1978), Word problems,Bull. Am. Math. Soc. 84, 789–802. · Zbl 0389.03018 · doi:10.1090/S0002-9904-1978-14516-9
[527] Evrard, D. (1987).
[528] Fässler-Ullmann, A. (1983), On nonclassical Hilbert spaces,Expositiones Mathematicae 3, 275–277. · Zbl 0521.10020
[529] Faulkner, J. R. (1982), Measurement systems and Jordan algebras,J. Math. Phys. 23, 1617–1621. · Zbl 0492.17012 · doi:10.1063/1.525571
[530] Fáy, Gy. (1967), Transitivity of implication in orthomodular lattices,Acta Sci. Math. Szeged. 28(3–4), 267–270.
[531] Fáy, Gy. (1970), A phenomenological foundation of quantum logic,Acta Phys. Hungar. 29, 27–33. · doi:10.1007/BF03157882
[532] Fáy, Gy., andR. Torös (1970),Kvantumlogika, Goudolat, Budapest.
[533] Feldafing74 see Castell, L., M. Drieschner, and C. F. von Weizsäcker (1975).
[534] Fermi70 see d’Espagnat, B. (1971).
[535] Fermi77 see Toraldo di Francia, G. (1977).
[536] Feyerabend, P. (1958), Reichenbach’s interpretation of quantum mechanics,Philos. Studies 9, 49–59; reprinted in Hooker, C. A. (1975), pp. 109–121. · doi:10.1007/BF00714346
[537] Feynman, R. P. (1986), Quantum mechanical computers,Found. Phys. 16, 507–531. · doi:10.1007/BF01886518
[538] Fillmorc, P. A. (1965), Perspectivity in projection lattices,Proc. Am. Math. Soc. 16, 383–387. · Zbl 0131.11203 · doi:10.1090/S0002-9939-1965-0176347-2
[539] Finch, P. D. (1969), On the structure of quantum logic,J. Symbolic Logic 34, 275–282 (1969); reprinted in Hooker, C. A. (1975), pp. 415–425. · Zbl 0205.00803 · doi:10.2307/2271104
[540] Finch, P. D. (1969 a), Sasaki projections on orthocomplemented posets,Bull. Aust. Math. Soc. 1, 319–324. · Zbl 0176.28501 · doi:10.1017/S0004972700042192
[541] Finch, P. D. (1969 b), On the lattice structure of quantum logic,Bull. Aust. Math. Soc. 1, 333–340. · Zbl 0176.27402 · doi:10.1017/S0004972700042210
[542] Finch, P. D. (1969 c), On von Neumann’s statistical formulas in quantum mechanics,Nanta Mathematica 3, 28–44. · Zbl 0188.29402
[543] Finch, P. D. (1970), On orthomodular posets,J. Aust. Math. Soc. 9, 57–62. · Zbl 0211.02701 · doi:10.1017/S1446788700005978
[544] Finch, P. D. (1970 b), Quantum logic as an implication algebra,Bull. Aust. Math. Soc. 2, 101–106. · Zbl 0179.01201 · doi:10.1017/S0004972700041642
[545] Finch, P. D. (1970 c), Orthogonality relations and orthomodularity,Bull Aust. Math. Sac. 2, 125–128. · Zbl 0179.03401 · doi:10.1017/S0004972700041678
[546] Finch, P. D. (1970 d), A transposition principle in orthomodular lattices,Bull. Lond. Math. Soc. 2, 49–52. · Zbl 0213.29304 · doi:10.1112/blms/2.1.49
[547] Finch, P. D. (1973), On the interference of probabilities,Bull. Lond. Math. Soc. 5, 218–220. · Zbl 0315.60011 · doi:10.1112/blms/5.2.218
[548] Finch, P. D. (1976), Incomplete descriptions in the language of probability theory, inOntario73I, pp. 23–28.
[549] Finch, P. D. (1976 a), On the interference of probabilities, inOntario73III, pp. 105–109.
[550] Finch, P. D. (1976 b), Quantum mechanical physical quantities as random variables, inOntario73III, pp. 81–103. · Zbl 0349.02025
[551] Finch, P. D. (1980), The formal structure of observational procedures, in Hall, T., P. R. Jones, and G. B. Preston (eds.),Semigroups, Academic Press, New York, pp. 239–255. · Zbl 0582.00024
[552] Fine, A. I. (1968), Logic, probability, and quantum theory,Philos. Sci. 35, 101–111. · doi:10.1086/288195
[553] Fine, A. L. (1969), On the general quantum theory of measurement,Proc. Camb. Philos. Soc. 65, 111–122. · Zbl 0169.56701 · doi:10.1017/S0305004100044145
[554] Fine, A. (1972), Some conceptual problems of quantum theory, in Colodny, R. G. (1972), pp. 3–31. [513]
[555] Fine, A. I. (1973), Probability and the interpretation of quantum mechanics,Br. J. Philos. Sci. 24, 1–37. · Zbl 0385.60005 · doi:10.1093/bjps/24.1.1
[556] Fine, A. I. (1979), How to count frequencies: A primer for quantum realist,Synthese 42, 145–154. · Zbl 0418.60005 · doi:10.1007/BF00413709
[557] Fine, A. I., andP. Teller (1978), Algebraic constraints on hidden variables,Found. Phys. 8, 629–636. · doi:10.1007/BF00717586
[558] Fine, T. L. (1974), Towards a revised probabilistic basis for quantum mechanics,Synthese 29, 187–201; reprinted in Suppes, P. (1976), 179–193. · Zbl 0403.60098 · doi:10.1007/BF00484957
[559] Finkelstein, D. (1963), Logic of quantum physics,Trans. N. Y. Acad. Sci. 25, 621–635.
[560] Finkelstein, D. (1969), Matter, space, and logic, inBoston66/68, pp. 199–215; reprinted in Hooker, C. A. (1979), pp. 123–139.
[561] Finkelstein, D. (1969 a), Space-time code,Phys. Rev. 184, 1261–1271. · Zbl 0182.59501 · doi:10.1103/PhysRev.184.1261
[562] Finkelstein, D. (1972), Space-time code. II,Phys. Rev. D 5, 320–328. · doi:10.1103/PhysRevD.5.320
[563] Finkeistein, D. (1972 a), Space-time code. III,Phys. Rev. D 5, 2922–2931. · doi:10.1103/PhysRevD.5.2922
[564] Finkelstein, D. (1972 b), The physics of logic, in Colodny, R. G. (1972), pp. 47–66.
[565] Finkelstein, D. (1973), A process conception of nature, inTrieste72, pp. 709–713.
[566] Finkelstein, D. (1974), Space-time code. IV,Phys. Rev. D 9, 2219–2231. · doi:10.1103/PhysRevD.9.2219
[567] Finkelstein, D. (1976), Classical and quantum probability and set theory, inOntario73III, pp. 111–119.
[568] Finkelstein, D. (1977), The Leibnitz project,J. Philos. Logic 6, 425–439; reprinted in Hooker, C. A. (1979), 423–437. · Zbl 0394.03058 · doi:10.1007/BF00262079
[569] Finkelstein, D. (1978), Beneath time: Exploration in quantum topology, in Fraser, J. T., N. Lawrence, and D. Park (eds.),The study of time. III, Springer-Verlag, New York, pp. 94–114.
[570] Finkelstein, D. (1979), Process philosophy and quantum dynamics, in Hooker, C. A. (1979a), pp. 1–18. [529]
[571] Finkelstein, D. (1979 a), Holistic methods in quantum logic, inTntzing78, pp. 37–59.
[572] Finkelstein, D. (1980), Quantum logic and quantum mappings, inLoyola79, pp. 79–94.
[573] Finkelstein, D. (1981), Quantum set theory and geometry, inTutzing80, pp. 31–41.
[574] Finkelstein, D. (1981 a), Quantum sets, assemblies, and plexi, inErice79, pp. 323–331.
[575] Finkelstein, D. (1982), Quantum sets and Clifford algebras,Int. J. Theor. Phys. 21, 489–503. · Zbl 0492.03025 · doi:10.1007/BF02650180
[576] Finkelstein, D. (1983), Quantum set theory and applications, inSalzburg83, p. 51.
[577] Finkelstein, D. (1987), Coherent quantum logic,Int. J. Theor. Phys,26, 109–129. · Zbl 0618.03034 · doi:10.1007/BF00669595
[578] Finkeistein, D. (1988), ”Superconducting” causal nets,Int. J. Theor. Phys. 27, 473–519. · Zbl 0651.53064 · doi:10.1007/BF00669395
[579] Finkelstein, D. (1989), Quantum net dynamics,Int. J. Theor. Phys. 28, 441–467. · doi:10.1007/BF00673296
[580] Finkelstein, D., andS. R. Finkelstein (1983), Computational complementarity,Int. J. Theor. Phys. 22, 753–779. · Zbl 0533.03013 · doi:10.1007/BF02085960
[581] Finkelstein, D., S. R. Finkelstein, andC. Holm (1986), Hyperspin manifolds,Int. J. Theor. Phys. 25, 441–463. · Zbl 0599.53061 · doi:10.1007/BF00670769
[582] Finkelstein, D., G. Frye, andL. Susskind (1974), Space-time code. V,Phys. Rev. D 9, 2231–2236. · doi:10.1103/PhysRevD.9.2231
[583] Finkelstein, D., J. M. Jauch, S. Schiminovich, andD. Speiser (1962), Some physical consequences of general Q-covariance,Helv. Phys. Ada 35, 328–329.
[584] Finkelstein, D., J. M. Jauch, S. Schiminovich, andD. Speiser (1962 a), Foundations of quaternion quantum mechanics,J. Math. Phys. 3, 207–220. · doi:10.1063/1.1703794
[585] Finkelstein, D., J. M. Jauch, S. Schiminovich, andD. Speiser (1963), Principle of general Q-covariance,J. Math. Phys. 4, 788–796. · Zbl 0124.22604 · doi:10.1063/1.1724320
[586] Finkelstein, D., J. M. Jauch, and D. Speiser (1979), Notes on quaternion quantum mechanics, in Hooker, C. A. (1979), pp. 367–421.
[587] Finkelstein, D., and G. McCollum (1975), Unified quantum theory, inFeldafing74, pp. 15–54.
[588] Finkelstein, D., andE. Rodriguez (1984), The quantum pentacle,Int. J. Theor. Phys. 23, 1065–1098. · doi:10.1007/BF02213417
[589] Finkelstein, D., and E. Rodriguez (1985), Application of quantum set theory to quantum time-space, inCologne84, pp. 315–318.
[590] Finkelstein, D., and E. Rodriguez (1986), Algebras and manifolds: Differential, difference, simplical and quantum, in Campbell, D., A. Newell, B. Schrieffer, and H. Segur (eds.),Solitons and coherent structures (Proceedings of a conference held in Santa Barbara, California, January 11–16, 1985),Physica 18D (1–3), (1986), 197–208.
[591] Finkelstein, S. R. (1983). · Zbl 0533.03013 · doi:10.1007/BF02085960
[592] Finkelstein, S. R. (1986). · Zbl 0599.53061 · doi:10.1007/BF00670769
[593] Fischer, H. R., and G. T. Rüttimann (1978), Limits of manuals and logics, inLoyola77, pp. 123–153.
[594] Fischer, H. R., and G. T. Rüttimann (1978 a), The geometry of the state space, inLoyola77, pp. 153–176.
[595] Flachsmeyer, J. (1982), Note on orthocomplemented posets, inProceedings of the Conference on Topology and Measure. III (Vittel-Hiddensee, Germany, 1980), Part l, Wissenschaftliche Beitrage der Ernst-Moritz-Arndt Universität, Greifswald, Germany, pp. 65–73.
[596] Flachsmeyer, J. (1982 a), Note on orthocomplemented posets II,Suppl. Rend. Circ. Mat. Palermo 2, 61–74. · Zbl 0535.06003
[597] Flachsmeyer, J. (1990), Neutral elements and the direct product representation of ortholattices, inJán90, pp. 51–56. · Zbl 0729.06004
[598] Flato, M., Z. Marić, A. Milojević, D. Sternheimer, andJ. P. Vigier (1976) (eds.),Quantum mechanics, determinism, causality, and particles. An international collection of contributions in honor of Louis de Broglie on the occasion of the jubilee of his celebrated thesis, Reidel, Dordrecht, Holland.
[599] Fort, M. (1982/1985) (ed.),Séminaire: Logique quantique el treillis orthomodulaires, Université de Lyon I, Villeurbanne Cedex, France (1982–1985).
[600] Fort, M. (1983).
[601] Fort, M. (1983/1984) see Chevalier, G., and M. Fort (1983/1984).
[602] Foulis, D. J. (1960), Baer*-semigroups,Proc. Am. Math. Soc. 11, 648–654; reprinted in Hooker, C. A. (1975), pp. 141–148. · Zbl 0239.20074
[603] Foulis, D. J. (1961), Conditions for modularity of an orthomodular lattice,Pacific J. Math. 11, 889–895. · Zbl 0234.06006
[604] Foulis, D. J. (1962), A note on orthomodular lattice,Portugal. Math. 21, 65–72. · Zbl 0106.24302
[605] Foulis, D. J. (1963), Relative inverses in Baer*-semigroups,Mich. Math. J. 10, 65–84. · Zbl 0116.25404 · doi:10.1307/mmj/1028998825
[606] Foulis, D. J. (1965), Semigroups coordinating orthomodular geometries,Can. J. Math. 17, 40–51. · Zbl 0146.02902 · doi:10.4153/CJM-1965-005-4
[607] Foulis, D. J. (1968), Multiplicative elements in Baer*-semigroups,Math. Ann. 175, 297–302. · Zbl 0189.30602 · doi:10.1007/BF02063214
[608] Foulis, D. J. (1970, 1972, 1973, 1976, 1979, 1979a, 1981, 1983, 1985) see Randall, C. H., and D. J. Foulis (1970, 1972, 1973, 1976, 1979, 1979a, 1981, 1983, 1985).
[609] Foulis, D. J. (1973 a). · Zbl 0276.06008 · doi:10.1017/S1446788700012805
[610] Foulis, D. J. (1980).
[611] Foulis, D. J. (1987). · Zbl 0641.46049 · doi:10.1007/BF00668911
[612] Foulis, D. J. (1989), Coupled physical systems,Found. Phys. 19, 905–922. · doi:10.1007/BF01889305
[613] Foulis, D. J. (1990). · doi:10.1007/BF01883235
[614] Foulis, D. J. (1990 a). · doi:10.1007/BF01883235
[615] Foulis, D. J., C. Piron, andC. H. Randali (1983), Realism, operationalism, and quantum mechanics,Found. Phys. 13, 813–841. · doi:10.1007/BF01906271
[616] Foulis, D. J., andC. H. Randall (1971), Lexicographic orthogonality,J. Combin, Theory 11, 157–162. · Zbl 0272.06008 · doi:10.1016/0097-3165(71)90040-9
[617] Foulis, D. J., andC. H. Randall (1971 a), Conditioning maps on orthomodular lattices,Glasgow Math. J. 12, 35–42. · Zbl 0275.06009 · doi:10.1017/S0017089500001129
[618] Foulis, D. J., andC. H. Randall (1972), Operational statistics. I. Basic concepts,J. Math. Phys. 13, 1667–1675. · Zbl 0287.60002 · doi:10.1063/1.1665890
[619] Foulis, D. J., andC. H. Randall (1974), Empirical logic and quantum mechanics,Synthese 29, 81–111; reprinted in Suppes, P. (1976), pp. 73–103. · Zbl 0344.02018 · doi:10.1007/BF00484953
[620] Foulis, D. J., and C. H. Randall (1974 a), The empirical logic approach to the physical sciences, inMarburg73, pp. 230–249. · Zbl 0292.02028
[621] Foulis, D. J., andC. H. Randall (1974 b), The stability of pure weights under conditioning,Glasgow Math. J. 15, 5–12. · Zbl 0303.60104 · doi:10.1017/S0017089500002020
[622] Foulis, D. J., and C. H. Randall (1978), Manuals, morphisms, and quantum mechanics, inLoyola77, pp. 105–126.
[623] Foulis, D. J., andC. H. Randall (1979), Tensor product of manuals–An alternative to tensor product of quantum logics,Notices Am. Math. Soc. 26, A-558.
[624] Foulis, D. J., and C. H. Randall (1981), What are quantum logics and what ought they to be?, inErice79, pp. 35–52.
[625] Foulis, D. J., and C. H. Randall (1981 a), Empirical logics and tensor products, inMarburg79, pp. 9–20. · Zbl 0495.03041
[626] Foulis, D. J., andC. H. Randall (1983), A mathematical language for quantum physics, in Gruber, C., C. Piron, T. Minhtom, and R. Weil (eds.),Les fondements de la mécanique quantique, Association Vaudoise des Chercheurs en Physique, Lausanne, Switzerland, pp. 193–222.
[627] Foulis, D. J., andC. H. Randall (1984), A note on misunderstanding of Piron’s axioms for quantum mechanics,Found. Phys. 14, 65–81. · doi:10.1007/BF00741647
[628] Foulis, D. J., and C. H. Randall (1985), Dirac revisited, inJoensuu85, pp. 97–112.
[629] Fowler, M. (1979), Elementary counterexamples in infinite dimensional inner product spaces,Math. Mag. 52, 96–97. · Zbl 0406.15001 · doi:10.2307/2689845
[630] Fraassen, van, B. C. see van Fraassen, B. C.
[631] Francia, Toraldo di, G. see Toraldo di Francia, G.
[632] Franco, G. (1987).
[633] Franke, V. A. (1980), An axiomatic scheme more general than quantum theory,Rep. Math. Phys. 18, 411–431. · Zbl 0561.46038 · doi:10.1016/0034-4877(80)90102-0
[634] Fraser, G. A. (1976), The semilattice tensor product of distributive lattices,Trans. Am. Math. Soc. 217, 183–194. · Zbl 0355.06013 · doi:10.1090/S0002-9947-1976-0392728-8
[635] Frazer, P. (1981) see Hardegree, G., and P. Frazer (1981).
[636] Frazer, P. J., D. J. Foulis, andC. H. Randall (1980), Weight functions on extensions of the compound manuals,Glasgow Math. J. 21, 97–101. · Zbl 0445.03035
[637] Freese, R. (1980), Free modular lattices,Trans. Am. Math. Soc. 261, 81–91. · Zbl 0437.06006 · doi:10.1090/S0002-9947-1980-0576864-X
[638] Freese, R., andB. Jónsson (1976), Congruence modularity implies the Arguesian identity,Algebra Universalis 6, 225–228. · Zbl 0354.08008 · doi:10.1007/BF02485830
[639] Frescura, F. A. M., andB. J. Hiley (1980), The implicate order, algebras, and the spinor,Found. Phys. 10, 7–31. · doi:10.1007/BF00709014
[640] Frescura, F. A. M., andB. J. Hiley (1980 a), The algebraization of quantum mechanics and the implicate order,Found. Phys. 10, 705–722. · doi:10.1007/BF00708417
[641] Freyer, K. D., andI. Halperin (1954), Coordinates in geometry,Trans. R. Soc. Can. 48, 11–26. · Zbl 0068.14102
[642] Freyer, K. D., andI. Halperin (1954 a), On the coordinatization theorem of J. von Neumann,Can. J. Math. 7, 432–444. · Zbl 0068.14103 · doi:10.4153/CJM-1955-047-4
[643] Freyer, K. D., andI. Halperin (1956), The von Neumann coordinatization theorem for complemented modular lattices,Acta Sci. Math. Szeged. 17, 203–249. · Zbl 0074.02205
[644] Friedman, M. (1977), Book review (Philosophical papers by H. Putnam),Philos. 86, 545–556. · doi:10.2307/2184567
[645] Friedman, M., andC. Glymour (1972), If quanta had logic,J. Philos. Logic 1, 16–28. · Zbl 0275.02030 · doi:10.1007/BF00649987
[646] Friedman, M., andH. Putnam (1978), Quantum logic, conditional probability, and interference,Dialectica 32, 305–315. · Zbl 0402.03016 · doi:10.1111/j.1746-8361.1978.tb01319.x
[647] Frink, Jr., O. (1947), Complemented modular lattices and projective spaces of infinite dimension,Trans. Am. Math. Soc. 60, 425–467.
[648] Fuchs, W. R. (1964), Ansätze zu einer Quantenlogik,Theoria 30, 137–140.
[649] Galdi, G. P. (1979) see Barone, F., and G. P. Galdi (1979).
[650] Gallone, F. (1973).
[651] Gallone, F., andA. Manià (1971), Group representation by automorphisms of a proposition system,Ann. Inst. Henri Poincaré A 15, 37–59. · Zbl 0249.43019
[652] Gallone, F., andA. Zecca (1973), Quantum logic axioms and the proposition-state structure,Int. J. Theor. Phys. 8, 51–63. · doi:10.1007/BF00671579
[653] Gardner, M. R. (1971), Is quantum logic really logic?,Philos. Sci. 38, 508–529. · doi:10.1086/288393
[654] Gardner, M. R. (1972), Two deviant logics for quantum theory: Bohr and Reichenbach,Br. J. Philos. Sci. 23, 89–109. · Zbl 0262.02011 · doi:10.1093/bjps/23.2.89
[655] Gardner, M. R. (1972 a), Quantum-theoretical realism: Popper and Einstein v. Kochen and Specker,Br. J. Philos. Sci. 23, 12–23. · Zbl 0299.02004
[656] Gardner, M. R. (1982), Predicting novel facts,Br. J. Philos. Sci. 33, 1–15. · doi:10.1093/bjps/33.1.1
[657] Garola, C. (1980), Propositions and orthocomplementation in quantum logic,Int. J. Theor. Phys. 19, 369–378. · Zbl 0448.03049 · doi:10.1007/BF00671989
[658] Garola, C. (1985), Embedding of posets into lattices in quantum logic,Int. J. Theor. Phys. 24, 423–433. · Zbl 0592.03053 · doi:10.1007/BF00669903
[659] Garola, C. (1988). · Zbl 0661.03051 · doi:10.1007/BF00671312
[660] Garola, C. (1989). · doi:10.4006/1.3035866
[661] Garola, C. (1990), An extended classical language for the foundation of quantum mechanics, inJán90, pp. 57–63. · Zbl 0739.03020
[662] Garola, C. (1991), Classical foundations of quantum logic,Int. J. Theor. Phys. 30, 1–52. · Zbl 0813.03044 · doi:10.1007/BF00670756
[663] Garola, C., andL. Solombrino (1983), Yes-no experiments and ordered structures in quantum physics,Nuovo Cimento 77B, 87–110.
[664] Gauthier, Y. (1983), Quantum mechanics and the local observer,Int. J. Theor. Phys. 22, 1141–1152. · Zbl 0537.03045 · doi:10.1007/BF02080320
[665] Gauthier, Y. (1985), A theory of local negation: The model and some applications,Arch. Math. Logik Grundlag. 25, 127–143. · Zbl 0597.03038 · doi:10.1007/BF02007562
[666] Gdańsk87 see Kostro, L.,et al (1988).Gdańsk89 see Mizerski, J.,et al (1990).
[667] Gensheimer, H. (1983), Measures on orthomodular lattices, inKlagenfurt82, pp. 115–121. · Zbl 0526.06008
[668] Gensheimer, H., and G. Kalmbach (1985), Measures and dimension lattices, inCologne84, pp. 285–290.
[669] Georgacarakos, G. N. (1979), Orthomodularity and relevance,J. Philos. Logic 8, 415–432. · Zbl 0426.03017 · doi:10.1007/BF00258441
[670] Georgacarakos, G. N. (1980), Equationally definable implication algebras for orthomodular lattices,Studia Logica 39, 5–18. · Zbl 0464.03053 · doi:10.1007/BF00373094
[671] Gereue, E. G. R. (1975), Representation of finite orthomodular posets,Notices Am. Math. Soc. 22, A-54.
[672] Gerelle, E. G. R. (1977), Selection maps for quantum logics: Applications to the classification of elementary particles,Rep. Math. Phys. 12, 141–150. · doi:10.1016/0034-4877(77)90001-5
[673] Gerelle, E. G. R., R. J. Greechie, andF. R. Miller (1974), Weights on spaces, in Enz, C. P., and J. Mehra (eds.),Physical reality and mathematical description, Reidel, Dordrecht, Holland, pp. 169–192. · Zbl 0354.02025
[674] Gerstberger, H., H. Neumann, and R. Werner (1981), Makroskopische Kausalität und relativistische Quantenmechanik, in Nitsch, J., J. Pfarr, and E.-W. Stachow (1981), pp. 205–216.
[675] Gibbins, P. (1981), A note on quantum logic and the uncertainty principle,Philos. Sci. 48, 122. · doi:10.1086/288982
[676] Gibbins, P. (1981 a), Putnam on the two-slit experiment,Erkenntnis 16, 235–241. · doi:10.1007/BF00219820
[677] Gibbins, P. F. (1983), Quantum logic as sequent calculi, in [Salzburg]83, Vol. 4, pp. 73–74.
[678] Gibbins, P. F. (1985), A user-friendly quantum logic,Logique Analyse 28, 353–362. · Zbl 0589.03039
[679] Gibbins, P. F. (1987),Particles and paradoxes: The limits of quantum logics, Cambridge University Press, Cambridge. · Zbl 0683.03001
[680] Gibbins, P. F., andD. B. Pearson (1981), The distributive law in the two-slit experiment,Found. Phys. 11, 797–803. · doi:10.1007/BF00726950
[681] Giles, R. (1968), Foundations for quantum statistics,J. Math. Phys. 9, 359–371. · Zbl 0164.29503 · doi:10.1063/1.1664588
[682] Giles, R. (1970), Foundations for quantum mechanics,J. Math. Phys. 11, 2139–2160; reprinted in Hooker, C. A. (1979), pp. 277–322. · Zbl 0195.28103 · doi:10.1063/1.1665373
[683] Giles, R. (1974), A non-classical logic for physics,Studia Logica 33, 397–415. · Zbl 0324.02017 · doi:10.1007/BF02123379
[684] Giles, R. (1977), A non-classical logic for physics, in Wojcicky, R. (ed.),Selected papers on Lukasiewicz sentential calculi, Polish Academy of Science, Ossolineum, pp. 13–51.
[685] Giles, R. (1977 a), A pragmatic approach to the formalization of empirical theories, inWarsaw74, pp. 113–135.
[686] Giles, R. (1979), Formal languages and the foundations of physics, in Hooker, C. A. (1979), pp. 19–87.
[687] Giles, R. (1979 a), The concept of a proposition in classical and quantum physics,Studia Logica 38, 337–353. · Zbl 0438.03058 · doi:10.1007/BF00370472
[688] Giles, R., andH. Kummer (1971), A non-commutative generalization of topology,Indiana Univ. Math. J. 21, 91–102. · Zbl 0219.54003 · doi:10.1512/iumj.1971.21.21008
[689] Gisin, N. (1983) Irreversible quantum dynamics and the Hilbert space structure of quantum kinetics,J. Math. Phys. 24, 1779–1782. · doi:10.1063/1.525895
[690] Gisin, N. (1984), Propensities and the state-property structure of classical and quantum systems,J. Math. Phys. 25, 2260–2265. · doi:10.1063/1.526430
[691] Gisin, N. (1984 a), Quantum measurements and stochastic processes,Phys. Rev. Lett. 52, 1657–1660. · doi:10.1103/PhysRevLett.52.1657
[692] Gisin, N. (1984 b), Gisin responds,Phys. Rev. Lett. 53, 1776. · doi:10.1103/PhysRevLett.53.1776
[693] Gisin, N. (1986), The property lattice of spatially separated quantum systems,Rep. Math. Phys. 23, 363–371. · Zbl 0632.46068 · doi:10.1016/0034-4877(86)90031-5
[694] Giuntini, R. (1987), Quantum logics and Lindenbaum property,Studia Logica 46, 17–35. · Zbl 0634.03065 · doi:10.1007/BF00396903
[695] Giuntini, R. (1988), Quantum logics and relative Lindenbaum property, in Cellucci, C., and G. Sambin (eds.),Atti del Congresso: Terni e Prospettive delia Logica e della Filosofia della Scienza Contemporanee, Vol. I, CLUEB, Bologna, Italy, pp. 189–202.
[696] Giuntini, R. (1989), Lindenbaum property, quantum logics, and the hidden-variable issue, in Weingartner, P., and G. Schurz (eds.),Philosophy of the natural sciences, Proceedings of the 13th International Wittgenstein-Symposium–14th to 21st August 1988, Kirchberg am Wechsel, Austria, Selected papers, Hölder-Pichler-Tempsky/Kluwer, Vienna/Norwell, Massachusetts, and Dordrecht, Holland, pp. 128–136.
[697] Giuntini, R. (1989 a). · doi:10.1007/BF01889307
[698] Giuntini, R. (1989 b), Quantum logics and relative Lindenbaum property,Ann. Phys. 7 (Leipzig)46, 293–302. · doi:10.1002/andp.19895010408
[699] Giuntini, R. (1989 c), Quantum logics and Hilbert spaces,Teoria 10, 3–26. · Zbl 0691.01007
[700] Giuntini, R. (1990), Brouwer-Zadeh logic and the operational approach to quantum mechanics,Found. Phys. 20, 701–714. · doi:10.1007/BF01889456
[701] Giuntini, R. (1991), A semantical investigation on Brouwer-Zadeh logic,J. Philos. Logic 20, 411–433. · Zbl 0749.03044 · doi:10.1007/BF00249437
[702] Giuntini, R. (1991 a),Quantum logic and hidden variables, Bibliographisches Institut, Mannheim. · Zbl 0787.03058
[703] Giuntini, R., andH. Greuling (1989), Toward a formal language for unsharp properties,Found. Phys. 19, 931–945. · doi:10.1007/BF01889307
[704] Giuntini, R., andP. Mittelstaedt (1989), The Leibnitz principle in quantum logic,Int. J. Theor. Phys. 28, 159–168. · Zbl 0682.03038 · doi:10.1007/BF00669807
[705] Gleason, A. M. (1957), Measures on the closed subspaces of a Hilbert space,J. Math. Phys. 6, 885–893; reprinted in Hooker, C. A. (1975), pp. 123–133. · Zbl 0078.28803
[706] Glymour, C. (1976), Review of Bub’sInterpretation of quantum mechanics, Can. J. Philos. 6, 161–175.
[707] Glymour, C. (1975) .
[708] Godowski, R. (1979), Disjunctivity and orthodisjunctivity in orthomodular posets,Demonstratio Math. 12, 1043–1049. · Zbl 0437.06008
[709] Godowski, R. (1980), Commutativity in orthomodular posets,Rep. Math. Phys. 18, 347–351. · Zbl 0549.06002 · doi:10.1016/0034-4877(80)90095-6
[710] Godowski, R. (1981), Varieties of orthomodular lattices with a strongly full set of states,Demonstratio Math. 14, 725–733. · Zbl 0483.06007
[711] Godowski, R. (1982), States on orthomodular lattices,Demonstratio Math. 15, 817–822. · Zbl 0522.06010
[712] Godowski, R. (1987), Partial Greechie diagrams for modular ortholattices,Demonstratio Math. 20, 291–297. · Zbl 0655.06009
[713] Godowski, R., andR. Greechie (1984), Some equations related to the states on orthomodular lattices,Demonstratio Math. 17, 241–250. · Zbl 0553.06013
[714] Godowski, R., and M. Navara (1990), Implicative and disjunctive orthomodular posets, inJán90, pp. 64–69. · Zbl 0742.06007
[715] Goldblatt, R. I. (1974), Semantic analysis of orthologic,J. Philos. Logic 3, 19–35. · Zbl 0278.02023 · doi:10.1007/BF00652069
[716] Goldblatt, R. I. (1975), The Stone space of an ortholattice,Bull. Lond. Math. Soc. 7, 45–48. · Zbl 0301.06006 · doi:10.1112/blms/7.1.45
[717] Goldblatt, R. (1984), Orthomodularity is not elementary,J. Symbolic Logic 49, 401–404. · Zbl 0593.03042 · doi:10.2307/2274172
[718] Golden, S. (1957), A formal theory of quantum classification. I,Nuovo Cimento Suppl. 5, 540–567. · Zbl 0098.19603 · doi:10.1007/BF02743934
[719] Gorini, V., andA. Zecca (1975), Reversible dynamics in a proposition-state structure,J. Math. Phys. 16, 667–669. · doi:10.1063/1.522577
[720] Grätzer, G. (1978),Lattice theory (General theory), Akademie-Verlag, Berlin. · Zbl 0385.06015
[721] Grätzer, G., B. Jónsson, andH. Lakser (1973), The amalgamation property in equational classes of modular lattices,Pacific J. Math. 45, 507–524. · Zbl 0264.06007
[722] Graves, J. C. (1973), Review:Cohen, R. S. andM. W. Wartofsky [1969] (eds.): Boston studies in the philosophy of science,5,Br. J. Philos. Sci. 24, 183–190. · Zbl 0172.28503
[723] Graves, W. H., andS. A. Selesnick (1973), An extension of the Stone representation for orthomodular lattices,Collog. Math. 27, 21–30. · Zbl 0229.06006
[724] Greechie, R. J. (1965), A class of orthomodular nonmodular lattices,Notices Am. Math. Soc. 11, 219.
[725] Greechie, R. J. (1968), Hyper-irreducibility in an orthomodular lattice,J. Nat. Sci. Math. 8, 108–111. · Zbl 0172.01802
[726] Greechie, R. J. (1968 c), On the structure of orthomodular lattices satisfying the chain condition,J. Combin. Theory 4, 210–218. · Zbl 0157.03703 · doi:10.1016/S0021-9800(68)80002-X
[727] Greechie, R. J. (1969), A particular non-atomistic orthomodular poset,Commun. Math. Phys. 14, 326–328. · Zbl 0185.03501 · doi:10.1007/BF01645388
[728] Greechie, R. J. (1969 a), An orthomodular poset with a full set of states not embeddable in Hilbert space,Caribbean J. Sci. Math. 1, 15–26.
[729] Greechie, R. J. (1971), Orthomodular lattices admitting no states,J. Combin. Theory 10A, 119–132. · Zbl 0219.06007 · doi:10.1016/0097-3165(71)90015-X
[730] Greechie, R. J. (1971 a), Combinatorial quantum logic, in Kay, D. C. (ed.),Proceedings of the conference on convexity and combinatorial geometry, University of Oklahoma, Norman, Oklahoma. · Zbl 0248.02031
[731] Greechie, R. J. (1974) Weights on spaces, in Enz, C. P., and J. Mehra (eds.), Physical reality and mathematical description, Reidel, Dordrecht, Holland, pp. 169–192. · Zbl 0354.02025
[732] Greechie, R. J. (1974 a).
[733] Greechie, R. J. (1974 b), Some results from the combinatorial approach to quantum logic,Synthese 29, 113–127; reprinted in Suppes, P. (1976), pp. 105–119. · Zbl 0318.02029 · doi:10.1007/BF00484954
[734] Greechie, R. J. (1975). · Zbl 0299.06005 · doi:10.1112/jlms/s2-9.3.495
[735] Greechie, R. J. (1975 a), On three dimensional quantum proposition systems, inFeldafing74, pp. 71–83.
[736] Greechie, R. J. (1977), On generating distributive sublattices of orthomodular lattices,Proc. Am. Math. Soc. 67, 17–22. · Zbl 0371.06008 · doi:10.1090/S0002-9939-1977-0450157-9
[737] Greechie, R. J. (1977 a), Any complete atomic orthomodular lattice with countably many atoms is a sublattice of one generated by three elements,J. Nat. Sci. Math. 17, 33–41. · Zbl 0445.06008
[738] Greechie, R. J. (1978), Finite groups as automorphism groups of orthocomplemented projective planes,J. Aust. Math. Soc. A 25, 19–24. · Zbl 0377.05010 · doi:10.1017/S144678870003888X
[739] Greechie, R. J. (1978 a), Another nonstandard quantum logic (and how I found it), inLoyola77, pp. 71–85.
[740] Greechie, R. J. (1979), An addendum to ”On generating distributive sublattices of orthomodular lattices,”Proc. Am. Math. Soc. 76, 216–218. · Zbl 0413.06006
[741] Greechie, R. J. (1981), A non-standard quantum logic with a strong set of states, inErice79, 375–380.
[742] Greechie, R. J. (1982) see Gudder, S. P., G. T. Rüttimann, and R. J. Greechie (1982).
[743] Greechie, R. J. (1982 a,1982 b) see Brans, G., and R. Greevchie (1982,1982a).
[744] Greechie, R. J. (1984).
[745] Greechie, R. J. (1990), Sites and tours in orthoalgebras and orthomodular lattices,Found. Phys. 20, 915–923. · doi:10.1007/BF01889698
[746] Greechie, R. J. (1990 a).
[747] Greechie, R. J., andS. P. Gudder (1971), Is quantum logic a logic?,Helv. Phys. Acta 44, 238–240.
[748] Greechie, R. J., and S. P. Gudder (1973), Quantum logics, inOntario71, pp. 143–173; reprinted in Hooker, C. A. (1975), pp. 545–575. · Zbl 0279.02015
[749] Greechie, R. J., andL. Herman (1985), Commutator finite orthomodular lattices,Order 1, 277–284. · Zbl 0553.06012 · doi:10.1007/BF00383604
[750] Greechie, R. J., andL. Herman (1990), Quasi-atoms in symmetric orthomodular lattices,Algebra Universalis 27, 455–465. · Zbl 0715.06007 · doi:10.1007/BF01188991
[751] Greuling, H. (1989). · doi:10.1007/BF01889307
[752] Grgin, E., andA. Petersen (1972), Classical and quantum mechanics in auxiliary algebras,Phys. Rev. D 5, 300–306. · doi:10.1103/PhysRevD.5.300
[753] Grgin, E., andA. Petersen (1972 a), Relation between classical and quantum mechanics,Int. J. Theor. Phys. 6, 325–337. · doi:10.1007/BF01258726
[754] Grib, A. A., andR. R. Zapatrin (1990), Automata simulating quantum logic,Int. J. Theor. Phys. 29, 113–123. · Zbl 0697.03035 · doi:10.1007/BF00671321
[755] Gross, H. (1977), Isomorphisms between lattices of linear subspaces which are induced by isometries,J. Algebra 49, 537–546. · Zbl 0387.15018 · doi:10.1016/0021-8693(77)90257-5
[756] Gross, H. (1979),Quadratic forms in infinite dimensional vector spaces, Birkhäuser, Basel. · Zbl 0413.10013
[757] Gross, H. (1982), The lattice method in the theory of quadratic spaces of nondenumerable dimensions,J. Algebra 75, 23–42. · Zbl 0493.15019 · doi:10.1016/0021-8693(82)90061-8
[758] Gross, H. (1985), Quadratic forms and Hilbert lattices, inVienna84, pp. 181–190. · Zbl 0573.06008
[759] Gross, H. (1987), Different orthomodular orthocomplementations on a lattice,Order 4, 79–92. · Zbl 0643.06005 · doi:10.1007/BF00337887
[760] Gross, H. (1989), Hilbert lattices with the extension property,Geometriae Dedicata 29, 153–161. · Zbl 0672.06005 · doi:10.1007/BF00182116
[761] Gross, H. (1989 a), On orthomodular lattices. Contributions to general algebra, inProceedings of the Krems Conference, August 21–27, 1988, North-Holland/Elsevier, Amsterdam.
[762] Gross, H. (1990), Hilbert lattices: New results and unsolved problems,Found. Phys. 20, 529–559. · doi:10.1007/BF01883238
[763] Gross, H., andH. A. Keller (1977), On the definition of Hilbert space,Manuscripta Math. 23, 67–90. · Zbl 0365.46023 · doi:10.1007/BF01168586
[764] Gross, H., andH. A. Keller (1981), On the non-trace-valued forms,Adv. Math. 42, 179–195. · Zbl 0481.15012 · doi:10.1016/0001-8708(81)90039-6
[765] Gross, H., and H. A. Keller (1983), On the problem of classifying infinite chains in projective and orthogonal geometry,Ann. Sci. Fenn. A I.8, 67–86. · Zbl 0489.10017
[766] Gross, H., andU.-M. Künzi (1985), On a class of orthomodular quadratic spaces,Enseignement Math. 31, 187–212. · Zbl 0603.46030
[767] Gross, H., Z. Lomecky, andR. Schuppli (1985), Lattice problems originating in quadratic space theory,Algebra Universalis 20, 267–291. · Zbl 0574.06007 · doi:10.1007/BF01195138
[768] Grubb, A. (1984). · Zbl 0548.06004 · doi:10.1016/0012-365X(84)90084-0
[769] Gudder, S. P. (1965), Spectral methods for a generalized probability theory,Trans. Am. Math. Soc. 119, 428–442. · Zbl 0161.46105 · doi:10.1090/S0002-9947-1965-0183657-6
[770] Gudder, S. P. (1966), Uniqueness and existence properties of bounded observables,Pacific J. Math. 19, 81–93. · Zbl 0149.23603
[771] Gudder, S. (1967), Coordinate and momentum observables in axiomatic quantum mechanics,J. Math. Phys. 8, 1848–1858. · Zbl 0161.23403 · doi:10.1063/1.1705428
[772] Gudder, S. (1967 a), System of observables in axiomatic quantum mechanics,J. Math. Phys. 8, 2109–2113. · Zbl 0161.23404 · doi:10.1063/1.1705127
[773] Gudder, S. (1967 b), Hilbert space, independence, and generalized probability,J. Math. Anal. Appl. 20, 48–61. · Zbl 0171.15602 · doi:10.1016/0022-247X(67)90105-9
[774] Gudder, S. (1968), Hidden variables in quantum mechanics reconsidered,Rev. Mod. Phys. 40, 229–231. · doi:10.1103/RevModPhys.40.229
[775] Gudder, S. (1968 a), Dispersion-free states and the exclusion of hidden observables,Proc. Am. Math. Soc. 19, 319–324. · Zbl 0162.01202 · doi:10.1090/S0002-9939-1968-0224339-X
[776] Gudder, S. (1968 b), Joint distribution of observables,J. Math. Mech. 18, 325–335. · Zbl 0241.60092
[777] Gudder, S. P. (1968 c), Complete sets of observables and pure states,Can. J. Math. 20, 1276–1280. · Zbl 0162.28903 · doi:10.4153/CJM-1968-125-0
[778] Gudder, S. (1969), On the quantum logic approach to quantum mechanics,Commun. Math. Phys. 12, 1–15. · Zbl 0169.56702 · doi:10.1007/BF01646431
[779] Gudder, S. P. (1969 a), Quantum probability spaces,Proc. Am. Math. Soc. 21, 296–302. · Zbl 0183.28703 · doi:10.1090/S0002-9939-1969-0243793-1
[780] Gudder, S. P. (1969 b), Coordinatization of orthomodular posets,Notices Am. Math. Soc. 16, 190.
[781] Gudder, S. P. (1969 c), A note on proposition observables,Pacific J. Math. 28, 101–104.
[782] Gudder, S. (1970), On hidden-variable theories,J. Math. Phys. 11, 431–436. · Zbl 0187.25602 · doi:10.1063/1.1665156
[783] Gudder, S. (1970 a), A superposition principle in physics,J. Math. Phys. 11, 1037–1040. · Zbl 0191.26901 · doi:10.1063/1.1665193
[784] Gudder, S. (1970 b), Axiomatic quantum mechanics and generalized probability theory, in Bharucha-Reid, A. T. (ed.),Probabilistic methods in applied mathematics, Vol. 2, Academic Press, New York, pp. 53–129. · Zbl 0326.60121
[785] Gudder, S. P. (1970 c), Projective representation of quantum logic,Int. J. Theor. Phys. 3, 99–108. · doi:10.1007/BF02412750
[786] Gudder, S. P. (1971) see Greechie, R. J., and S. P. Gudder (1971).
[787] Gudder, S. (1971 a). · doi:10.1090/S0002-9939-1971-0276144-6
[788] Gudder, S. P. (1971 b), Representations of groups as automorphisms on orthomodular lattices and posets,Can. J. Math. 23, 659–673; reprinted in Hooker, C. A. (1979), pp. 31–47. · Zbl 0256.43012
[789] Gudder, S. (1972), Hidden-variable model for quantum mechanics,Nuovo Cimento 10B, 518–522.
[790] Gudder, S. (1972 a), Plane frame functions and pure states in Hilbert space,Int. J. Theor. Phys. 6, 369–375. · doi:10.1007/BF01258731
[791] Gudder, S. (1972 b), Partial algebraic structures associated with orthomodular posets,Pacific J. Math. 41, 717–729. · Zbl 0267.06005
[792] Gudder, S. (1973), Generalized measure theory,Found. Phys. 3, 399–411. · doi:10.1007/BF00708681
[793] Gudder, S. (1973 a), Convex structures and operational quantum mechanics,Commun. Math. Phys. 29, 249–264. · doi:10.1007/BF01645250
[794] Gudder, S. (1973 b), State automorphism in axiomatic quantum mechanics,Int. J. Theor. Phys. 7, 205–211. · doi:10.1007/BF00792071
[795] Gudder, S. P. (1973 c), Quantum logics, physical space, position observables, and symmetry,Rep. Math. Phys. 4, 193–202. · doi:10.1016/0034-4877(73)90024-4
[796] Gudder, S. P. (1973 d) see Greechie, R. J., and S. P. Gudder (1973).
[797] Gudder, S. P. (1974) see Cornette, W. M., and S. P. Gudder (1974).
[798] Gudder, S. (1974 a), Inner product spaces,Am. Math. Monthly 81, 29–36. · Zbl 0279.46013 · doi:10.2307/2318908
[799] Gudder, S. (1974 b), A transient quantum effect,Found. Phys. 4, 413–416. · doi:10.1007/BF00708546
[800] Gudder, S. (1975), Correction to: ”Inner product spaces,”Am. Math. Monthly 82, 251–252. · Zbl 0305.46033 · doi:10.2307/2319847
[801] Gudder, S. (1975 a). · Zbl 0299.06005 · doi:10.1112/jlms/s2-9.3.495
[802] Gudder, S. (1975 b).
[803] Gudder, S. (976), A generalized measure and probability theory for the physical sciences, inOntario73III, pp. 121–141.
[804] Gudder, S. P. (1977), Convexity and mixtures,SIAM Rev. 19, 221–240. · Zbl 0354.52001 · doi:10.1137/1019038
[805] Gudder, S. P. (1977 a), Four approaches to axiomatic quantum mechanics, in Price, W. C., and S. S. Chissick (eds.),The uncertainty principle and foundations of quantum mechanics: A fifty years’ survey, Wiley, New York, pp. 247–276.
[806] Gudder, S. P. (1978), Some unsolved problems in quantum logics, inLoyola77, pp. 87–103.
[807] Gudder, S. P. (1978 a), Cantoni’s generalized transition probability,Commun. Math. Phys. 63, 265–267. · Zbl 0391.60100 · doi:10.1007/BF01196935
[808] Gudder, S. P. (1978 b), Gaussian random fields,Found. Phys. 8, 295–302. · doi:10.1007/BF00715214
[809] Gudder, S. P. (1979), A survey of axiomatic quantum mechanics, in Hooker, C. A. (1979), pp. 323–363.
[810] Gudder, S. P. (1979 a), Axiomatic operational quantum mechanics,Rep. Math. Phys. 16, 147–166. · Zbl 0437.46058 · doi:10.1016/0034-4877(79)90056-9
[811] Gudder, S. P. (1979 b),Stochastic methods in quantum mechanics, North-Holland, Amsterdam. · Zbl 0439.46047
[812] Gudder, S. P. (1979 c), Families of completely positive mappings,Int. J. Theor. Phys. 18, 935–944. · Zbl 0471.46037 · doi:10.1007/BF00669569
[813] Gudder, S. P. (1979 d), A Radon-Nikodym theorem for*-algebras,Pacific J. Math. 80, 141–149. · Zbl 0406.46055
[814] Gudder, S. P. (1979 e), Algebraic conditions for a function on an Abelian group,Lett. Math. Phys. 3, 127–133. · Zbl 0422.46020 · doi:10.1007/BF00400067
[815] Gudder, S. (1980), Proposed test for a hidden variable theory,Int. J. Theor. Phys. 19, 163–168. · Zbl 0448.03048 · doi:10.1007/BF00669767
[816] Gudder, S. P. (1980 a), Statistical inference in quantum mechanics,Rep. Math. Phys. 17, 265–274. · Zbl 0491.46058 · doi:10.1016/0034-4877(80)90067-1
[817] Gudder, S. P. (1981), Expectation and transitional probability,Int. J. Theor. Phys. 20, 383–395. · Zbl 0483.03041 · doi:10.1007/BF00669530
[818] Gudder, S. P. (1981 a), Measure and integration in quantum set theory, inErice79, pp. 341–352.
[819] Gudder, S. P. (1981 b), Representations of Baer*-semigroups and quantum logics in Hilbert space, inErice79, pp. 265–273.
[820] Gudder, S. P. (1981 c), Comparison of the quantum logic, convexity, and algebraic approaches to quantum mechanics, inMarburg79, pp. 125–131.
[821] Gudder, S. P. (1982), A logical explanation for quarks,Found. Phys. 12, 419–431. · doi:10.1007/BF00726786
[822] Gudder, S. P. (1982 a), A survey of a quark model,Found. Phys. 12, 1041–1055. · doi:10.1007/BF01300545
[823] Gudder, S. P. (1982 b), Hilbertian interpretations of manuals,Proc. Am. Math. Soc. 85, 251–255. · Zbl 0498.03049 · doi:10.1090/S0002-9939-1982-0652452-9
[824] Gudder, S. P. (1983), An approach to measurement,Found. Phys. 13, 35–49. · doi:10.1007/BF01889409
[825] Gudder, S. P. (1983 a), The Hilbert space axiom in quantum mechanics, in van der Merwe, A. (1983), pp. 109–127.
[826] Gudder, S. P. (1983 b), A finite dimensional quark model,Int. J. Theor. Phys. 22, 947–970. · doi:10.1007/BF02080478
[827] Gudder, S. P. (1984), Finite quantum processes,J. Math. Phys. 25, 456–465. · Zbl 0542.60066 · doi:10.1063/1.526199
[828] Gudder, S. P. (1984 a), Reality, locality, and probability,Found. Phys. 14, 997–1010. · doi:10.1007/BF01889250
[829] Gudder, S. P. (1984 b), An extension of classical measure theory,SIAM Rev. 26, 71–89. · Zbl 0559.28003 · doi:10.1137/1026002
[830] Gudder, S. P. (1984 c), Probability manifolds,J. Math. Phys. 25, 2397–2401. · doi:10.1063/1.526461
[831] Guddcr, S. P. (1984 d), Wave-particle duality in a quark model, in Diner, S., D. Fargue, G. Lochak, and F. Selleri (eds.),The wave-particle dualism. A tribute to Louis de Broglie on his 90th birthday, Reidel, Dordrecht, Holland, pp. 499–513.
[832] Gudder, S. P. (1985), Measures and states on graphs, inCologne84, pp. 253–264.
[833] Gudder, S. P. (1985 a), Linearity of expectation functionals,Found. Phys. 15, 101–111. · doi:10.1007/BF00738740
[834] Gudder, S. P. (1985 b), Amplitude phase-space model for quantum mechanics,Int. J. Theor. Phys. 24, 343–353. · Zbl 0563.60099 · doi:10.1007/BF00670802
[835] Gudder, S. P. (1985 c), Finite dimensional relativistic quantum mechanics,Int. J. Theor. Phys. 24, 707–721. · doi:10.1007/BF00670878
[836] Gudder, S. P. (1985 d).
[837] Gudder, S. P. (1986), Discrete quantum mechanics,J. Math. Phys. 27, 1782–1790. · Zbl 0597.05061 · doi:10.1063/1.527044
[838] Gudder, S. P. (1986 a), Quantum graphics,Int. J. Theor. Phys. 25, 807–824. · doi:10.1007/BF00669918
[839] Gudder, S. P. (1986 b), State dimension of a graph,Demonstratio Math. 19, 947–975. · Zbl 0691.05034
[840] Gudder, S. P. (1986 c), Partial Hilbert spaces and amplitude functions,Ann. Inst. Henri Poincaré A 45, 311–326. · Zbl 0659.46025
[841] Gudder, S. P. (1986 d), Logical cover spaces,Ann. Inst. Henri Poincaré A 45, 327–337. · Zbl 0612.03026
[842] Gudder, S. (1987). · Zbl 0622.46055 · doi:10.1063/1.527669
[843] Gudder, S. (1987 a), A functional equation for transition amplitudes,Aeguationes Math. 32, 107–108.
[844] Gudder, S. P. (1988), A theory of amplitudes,J. Math. Phys. 29, 2020–2035. · Zbl 0649.60108 · doi:10.1063/1.527860
[845] Gudder, S. P. (1988 a), Quantum graphic dynamics,Found. Phys. 18, 751–756. · doi:10.1007/BF00734155
[846] Gudder, S. P. (1988 b), Realistic quantum probability,Int. J. Theory. Phys. 27, 193–209. · Zbl 0653.60004 · doi:10.1007/BF00670748
[847] Gudder, S. P. (1988 c), Finite model for particles,Hadronic J. 11, 21–34.
[848] Gudder, S. P. (1988 d),Quantum probability, Academic Press, Boston. · Zbl 0653.60004
[849] Gudder, S. P. (1989), Particle decay model,Int. J. Theor. Phys. 28, 273–301. · doi:10.1007/BF00670205
[850] Gudder, S. P. (1989 a), Predictions of a particle model,Int. J. Theor. Phys. 28, 1341–1350. · doi:10.1007/BF00671852
[851] Gudder, S. P. (1989 b), Realism in quantum mechanics,Found. Phys. 19, 949–970. · doi:10.1007/BF01883150
[852] Gudder, S. P. (1989 c), Book review:Quantum probability–Quantum logic by I. Pitowsky,Found. Phys. Lett. 2, 297–298. · doi:10.1007/BF00692674
[853] Gudder, S. P. (1989 d), Book review:An introduction to Hilbert space and quantum logic by W. Cohen,Found. Phys. Lett. 2, 503–504. · doi:10.1007/BF00689817
[854] Gudder, S. (1989 e, 1990).
[855] Gudder, S. P. (1990 a). · doi:10.1007/BF00731710
[856] Gudder, S. P. (1990 b), Quantum probability and operational statistics,Found. Phys. 20, 499–527. · doi:10.1007/BF01883237
[857] Gudder, S. P. (1990 c), Quantum stochastic processes,Found. Phys. 20, 1345–1363. · doi:10.1007/BF01883490
[858] Gudder, S., andT. Armstrong (1985), Bayes’ rule and hidden variables,Found. Phys. 15, 1009–1017. · doi:10.1007/BF00732843
[859] Gudder, S. P., andS. Boyce (1970), A comparison of the Mackey and Segal models for quantum mechanics,Int. J. Theor. Phys. 3, 7–21. · doi:10.1007/BF00674006
[860] Gudder, S. P., andL. Haskins (1974), The center of a poset,Pacific J. Math. 52, 85–89. · Zbl 0295.06002
[861] Gudder, S., andS. Holland (1975), Second correction to: ”Inner product spaces,”Am. Math. Monthly 82, 818. · Zbl 0305.46033 · doi:10.2307/2319847
[862] Gudder, S. P., andR. L. Hudson (1978), A noncommutative probability theory,Trans. Am. Math. Soc. 245, 1–41. · Zbl 0407.46057 · doi:10.1090/S0002-9947-1978-0511398-0
[863] Gudder, S. P., M. P. Kläy, andG. T. Rütrimann (1986), States on hypergraphs,Demonstratio Math. 19, 503–526.
[864] Gudder, S., andJ.-P. Marchand (1972), Noncommutative probability on von Neumann algebras,J. Math. Phys. 13, 799–806. · Zbl 0232.46064 · doi:10.1063/1.1666054
[865] Gudder, S., andJ.-P. Marchand (1977), Conditional expectations on von Neumann algebras: A new approach,Rep. Math. Phys. 12, 317–329. · Zbl 0379.60099 · doi:10.1016/0034-4877(77)90030-1
[866] Gudder, S., andJ.-P. Marchand (1980), A coarse-grained measure theory,Bull. Acad. Polon. Sci. Sci. Math. Astron. Phys. 23, 557–563. · Zbl 0499.28002
[867] Gudder, S. P., andJ. R. Michel (1979), Embedding quantum logics in Hilbert space,Lett. Math. Phys. 3, 379–386. · Zbl 0437.03035 · doi:10.1007/BF00397211
[868] Gudder, S. P., andJ. R. Michel (1981), Representation of Baer*-semigroups,Proc. Am. Math. Soc. 81, 157–163. · Zbl 0465.47031
[869] Gudder, S. P., andH. C. Mullikin (1973), Measure theoretic convergence of observables and operators,J. Math. Phys. 14, 234–242. · Zbl 0267.28005 · doi:10.1063/1.1666301
[870] Gudder, S., andV. Naroditsky (1981), Finite-dimensional quantum mechanics,Int. J. Theor. Phys. 20, 614–643.
[871] Gudder, S., andC. Piron (1971), Observables and the field quantum mechanics,J. Math. Phys. 12, 1583–1588. · Zbl 0281.06005 · doi:10.1063/1.1665777
[872] Gudder, S., andS. Pulmannová (1987), Transition amplitude spaces,J. Math. Phys. 28, 376–385. · Zbl 0622.46055 · doi:10.1063/1.527669
[873] Gudder, S. P., andG. T. Rüttimann (1986), Observables on hypergraphs,Found. Phys. 16, 773–790. · doi:10.1007/BF00735379
[874] Gudder, S. P., andG. T. Rüttimann (1988), Finite function spaces and measures on hypergraphs,Discrete Math. 68, 221–244. · Zbl 0665.05035 · doi:10.1016/0012-365X(88)90115-X
[875] Gudder, S. P., andG. T. Rüttimann (1988 a), Positive sets in finite linear function spaces,Discrete Math. 68, 245–255. · Zbl 0666.05060 · doi:10.1016/0012-365X(88)90116-1
[876] Gudder, S. P., G. T. Rüttimann, andR. J. Greechie (1982), Measurements, Hilbert space, and quantum logic,J. Math. Phys. 23, 2381–2386. · Zbl 0508.03028 · doi:10.1063/1.525331
[877] Gudder, S. P., andR. H. Schelp (1970), Coordinatization of orthocomplemented and orthomodular posets,Proc. Am. Math. Soc. 25, 229–237. · Zbl 0203.31002 · doi:10.1090/S0002-9939-1970-0258690-3
[878] Gudder, S. P., and C. Schindler (1990), Regular quantum Markov processes,J. Math. Phys. (to appear). [797] · Zbl 0731.60109
[879] Gudder, S. P., andD. Strawther (1974), Orthogonality and nonlinear functionals,Bull. Am. Math. Soc. 80, 946–950. · Zbl 0291.46015 · doi:10.1090/S0002-9904-1974-13589-5
[880] Gudder, S. P., andD. Strawther (1975), Orthogonally additive and orthogonally monotone functions on vector spaces,Pacific J. Math. 58, 427–436. · Zbl 0311.46015
[881] Gudder, S., andN. Zanghí (1984), Probability models,Nuovo Cimento 79B, 291–300.
[882] Gudder, S., andJ. Zerbe (1981), Generalized monotone convergence and Radon-Nikodym theorems,J. Math. Phys. 22, 2553–2561. · Zbl 0467.60003 · doi:10.1063/1.524832
[883] Guenin, M. (1961).
[884] Guenin, M. (1961 a,1962,1962a) see Stueckelberg, E. C. G., and M. Guenin (1961, 1962, 1962a).
[885] Guenin, M. (1966), Axiomatic foundations of quantum theories,J. Math. Phys. 7, 271–282. · Zbl 0195.28401 · doi:10.1063/1.1704929
[886] Gunson, J. (1967), On the algebraic structure of quantum mechanics,Commun. Math. Phys. 6, 262–285. · Zbl 0171.46804 · doi:10.1007/BF01646019
[887] Gunson, J. (1972), Physical states on quantum logics. I,Ann. Inst. Henri Poincaré A 17, 295–311.
[888] Gutkowski, D., andM. V. Valdes Franco (1983), On the quantum mechanical superposition of macroscopically distinguishable states,Found. Phys. 13, 963–986. · doi:10.1007/BF00729517
[889] Guz, W. (1971), Quantum logic and a theorem on commensurability,Rep. Math. Phys. 2, 53–61. · doi:10.1016/0034-4877(71)90018-8
[890] Guz, W. (1974), On the axiom system for non-relativistic quantum mechanics,Rep. Math. Phys. 6, 445–454. · doi:10.1016/S0034-4877(74)80008-X
[891] Guz, W. (1974 a), On quantum dynamical semigroups,Rep. Math. Phys. 6, 455–464. · Zbl 0327.47016 · doi:10.1016/S0034-4877(74)80009-1
[892] Guz, W. (1975), A modification of the axiom system of quantum mechanics,Rep. Math. Phys. 7, 313–320. · Zbl 0326.70004 · doi:10.1016/0034-4877(75)90036-1
[893] Guz, W. (1975 a), Markovian processes in classical and quantum mechanics,Rep. Math. Phys. 7, 205–214. · Zbl 0358.60064 · doi:10.1016/0034-4877(75)90027-0
[894] Guz, W. (1975 b), On time evolution of non-isolated physical systems,Rep. Math. Phys. 8, 49–59. · doi:10.1016/0034-4877(75)90017-8
[895] Guz, W. (1977), Axioms for nonrelativistic quantum mechanics,Int. J. Theor. Phys. 16, 299–306. · Zbl 0386.03028 · doi:10.1007/BF01811170
[896] Guz, W. (1977 a), Axioms for statistical physical theories and GL-spaces,Rep. Math. Phys. 12, 151–167. · Zbl 0399.60006 · doi:10.1016/0034-4877(77)90002-7
[897] Guz, W. (1977 b), Spaces of the type GM and GL. Basic properties,Rep. Math. Phys. 12, 285–299. · Zbl 0375.46008 · doi:10.1016/0034-4877(77)90026-X
[898] Guz, W. (1978), On the simultaneous verifiability of yes-no measurements,Int. J. Theor. Phys. 17, 543–548. · Zbl 0398.03051 · doi:10.1007/BF00682558
[899] Guz, W. (1978 a), On the lattice structure of quantum logics,Ann. Inst. Henri Poincaré A 28, 1–7.
[900] Guz, W. (1978 b), Filter theory and covering law,Ann. Inst. Henri Poincaré A 29, 357–378. · Zbl 0398.03052
[901] Guz, W. (1979), Pure operations and the covering law,Rep. Math. Phys. 16, 125–141. · Zbl 0436.03052 · doi:10.1016/0034-4877(79)90045-4
[902] Guz, W. (1979 a), An improved formulation of axioms for quantum mechanics,Ann. Inst. Henri Poincaré A 30, 223–230. · Zbl 0427.03054
[903] Guz, W. (1980), A non-symmetric transition probability in quantum mechanics,Rep. Math. Phys. 17, 385–400. · Zbl 0487.03037 · doi:10.1016/0034-4877(80)90006-3
[904] Guz, W. (1980 a), Event-phase-space structure: An alternative to quantum logic,J. Phys. A 13, 881–899. · Zbl 0431.03040 · doi:10.1088/0305-4470/13/3/021
[905] Guz, W. (1980 b), Conditional probability in quantum mechanics,Ann. Inst. Henri Poincaré A 33, 63–119.
[906] Guz, W. (1981), Projection postulate and superposition principle in non-lattice quantum logics,Ann. Inst. Henri Poincaré A 34, 373–389. · Zbl 0473.03056
[907] Guz, W. (1981 a), Conditional probability and the axiomatic structure of quantum mechanics,Fortschr. Phys. 29, 345–379. · doi:10.1002/prop.19810290802
[908] Guz, W. (1984), Stochastic phase spaces, fuzzy sets, and statistical metric spaces,Found. Phys. 14, 821–848. · doi:10.1007/BF00737552
[909] Guz, W. (1985), Fuzzy{\(\sigma\)}-algebras of physics,Int. J. Theor. Phys. 24, 481–493. · Zbl 0575.46052 · doi:10.1007/BF00669908
[910] Guz, W. (1985 a), On the nonclassical character of the phase-space representations of quantum mechanics,Found. Phys. 15, 121–128. · doi:10.1007/BF00735283
[911] Haack, S. (1974),Deviant logic, Cambridge University Press, Cambridge. · Zbl 0288.02007
[912] Haag, R. (1990), Fundamental irreversibility and the concept of events,Commun. Math. Phys. 132, 245–251. · Zbl 0709.53549 · doi:10.1007/BF02278010
[913] Haag, R., andU. Bannier (1978), Comments on Mielnik’s generalized (non linear) quantum mechanics,Commun. Math. Phys. 60, 1–6. · doi:10.1007/BF01609470
[914] Hadjisavvas, N. (1981),.
[915] Hadjisavvas, N. (1981 a), Distance between states and statistical inference in quantum theory,Ann. Inst. Henri Poincaré A 35, 287–309. · Zbl 0485.46037
[916] Hadjisavvas, N. (1981 b), Properties of mixtures on non-orthogonal states,Lett. Math. Phys. 5, 327–332. · doi:10.1007/BF00401481
[917] Hadjisavvas, N. (1988), On Cantoni’s generalized transition probability,Commun. Math. Phys. 83, 43–48. · Zbl 0492.60003 · doi:10.1007/BF01947070
[918] Hadjisavvas, N., andF. Thieffine (1984), Piron’s axioms for quantum mechanics: A reply to Foulis and Randall,Found. Phys. 14, 83–88. · doi:10.1007/BF00741648
[919] Hadjisavvas, N., F, Thieffine, andM. Mugur-Schächter (1980), Study of Piron’s system of questions and propositions,Found. Phys. 10, 751–765. · doi:10.1007/BF00708421
[920] Hadjisavvas, N., F. Thieffine, andM. Mugur-Schächter (1981), Critical remark on Jauch’s program,Lett. Nuovo Cimento 30, 530–532. · doi:10.1007/BF02739684
[921] Haiman, M. (1985), Two notes on the Arguesian identity,Algebra Universalis 21, 167–171. · Zbl 0595.06012 · doi:10.1007/BF01188053
[922] Hall, M. J. W. (1988), Probability and logical structure of statistical theories,Int. J. Theor. Phys. 27, 1285–1312. · Zbl 0661.03050 · doi:10.1007/BF00671311
[923] Hallett, M. (1982),.
[924] Halperin, I. (1954, 1954a,1956),.
[925] Halperin, I. (1985),Books in review: A survey of John von Neumann’s books on continuous geometry,Order 1, 301–305. · doi:10.1007/BF00383607
[926] Hamhalter, J. (1988), On the lattice of closed subspaces in topological linear space, inJán88, pp. 37–39/40.
[927] Hamhalter, J. (1989), The sums of closed subspaces in a topological linear space,Acta Univ. Carolin. Math. Phys. 30(2), 61–64. · Zbl 0715.46001
[928] Hamhalter, J. (1989 a), On modular spaces,Bull. Polish Acad. Sci. Math. 37, 647–653. · Zbl 0767.46004
[929] Hamhalter, J. (1990), A representation of finitely-modular AC-lattices,Math. Nachr. 147, 335–338. · Zbl 0749.06002 · doi:10.1002/mana.19901470126
[930] Hamhalter, J. (1990 a), States onW *-algebras and orthogonal vector measures,Proc. Am. Math. Soc. 110, 803–806. · Zbl 0743.46063
[931] Hamhalter, J. (1990 b), Orthogonal vector measures on projection lattices in a Hilbert space,Comment. Math. Univ. Carolin. 31, 655–660. · Zbl 0743.46067
[932] Hamhalter, J. (1990 c), Orthogonal vector measures, inJán90, pp. 74–78. · Zbl 0755.46029
[933] Hamhalter, J., andP. Pták (1987), A completeness criterion for inner product spaces,Bull. Lond. Math. Soc. 19, 259–263. · Zbl 0601.46027 · doi:10.1112/blms/19.3.259
[934] Hardegree, G. M. (1974), The conditional in quantum logic,Synthese 29, 63–80; reprinted in Suppes, P. (1976), pp. 55–72. · Zbl 0361.02039 · doi:10.1007/BF00484952
[935] Hardegree, G. M. (1975), Stalnaker conditionals and quantum logics,J. Philos. Logic 4, 399–421. · Zbl 0357.02024 · doi:10.1007/BF00558757
[936] Hardegree, G. M. (1975 a), Quasi-implicative lattices and the logic of quantum mechanics,Z. Naturforsch. 30a, 1347–1360.
[937] Hardegree, G. M. (1975 b), Compatibility and relative compatibility in quantum mechanics, inAbstracts of the 5th International Congress on Logic, Methodology, and Philosophy of Science (London, Ontario, Canada, August 27–September, 4, 1975), Part 7, pp. 23–24.
[938] Hardegree, G. M. (1977), The modal interpretation of quantum mechanics, inPSA76, Vol. 1, pp. 82–103.
[939] Hardegree, G. M. (1977 a), Relative compatibility in conventional quantum mechanics,Found. Phys. 7, 495–510. · doi:10.1007/BF00708865
[940] Hardegree, G. M. (1977 b), Reichenbach and the logic of quantum mechanics,Synthese 35, 3–40. · Zbl 0371.02006 · doi:10.1007/BF00485434
[941] Hardegree, G. M. (1979), The conditional in abstract and concrete quantum logic, in Hooker, C. A. (1979), pp. 49–108.
[942] Hardegree, G. M. (1979 a), Reichenbach and the logic of quantum mechanics, in Salmon, W. C. (ed.),Hans Reichenbach: Logical empiricist, Reidel, Dordrecht, Holland, pp. 475–512.
[943] Hardegree, G. M. (1980), Micro-states in the interpretation of quantum theory, inPSA80, Vol. I, pp. 43–54.
[944] Hardegree, G. M. (1981), An axiomatic system for orthomodular quantum logic,Studia Logica 40, 1–12. · Zbl 0476.03059 · doi:10.1007/BF01837551
[945] Hardegree, G. M. (1981 a), Material implication in orthomodular (and Boolean) lattices,Notre Dame J. Formal Logic 22, 163–183. · Zbl 0452.03050 · doi:10.1305/ndjfl/1093883401
[946] Hardegree, G. M. (1981 b), Quasi-implication algebras, Part I: Elementary theory,Algebra Universalis 12, 30–47. · Zbl 0497.03049 · doi:10.1007/BF02483861
[947] Hardegree, G. M. (1981 c), Quasi-implication algebras, Part II: Structure theory,Algebra Universalis 12, 48–65. · Zbl 0497.03050 · doi:10.1007/BF02483862
[948] Hardegree, G. M. (1981 d), Some problems and methods in formal quantum logic, inErice79, pp. 209–225.
[949] Hardegree, G. M. (1985, 1985a),.
[950] Hardegree, G. M., and P. Frazer (1981), Charting the labyrinth of quantum logics, inErice79, pp. 35–52.
[951] Harding, J. (1988), Boolean factors of orthomodular lattices,Algebra Universalis,25, 281–282. · Zbl 0655.06007 · doi:10.1007/BF01229977
[952] Harman, B. (1985), Maximal ergodic theorem on a logic,Math. Slovaca 35, 381–386. · Zbl 0602.28007
[953] Harper, W. L., andC. A. Hooker (1976) (eds.),Foundations of probability theory, statistical inference, and statistical theories of science, Proceedings of an international research colloquium held at the University of Western Ontario, London, Canada, 10–13 May 1973, Volume I.Foundations and philosophy of epistemic applications of probability theory, Volume II.Foundations and philosophy of statistical inference, Volume III.Foundations and philosophy of statistical theories in the physical sciences [Ontario73] (The University of Western Ontario Series in the Philosophy of Science, Vol. 6), Reidel, Dordrecht, Holland.
[954] Hartkämper, A., andH. Neumann (1974) (eds.),Foundations of quantum mechanics and ordered linear spaces, Advanced Study Institute Marburg 1973 [Marburg73] (Lecture Notes in Physics, Vol. 29), Springer, New York. · Zbl 0271.00013
[955] Hartkämper, A., andH. J. Schmidt (1983), On the foundations of the physical probability concept,Found. Phys. 13, 655–672. · doi:10.1007/BF01889347
[956] Haskins, L. (1974),.
[957] Haskins, L., andS. Gudder (1971), Semimodular posets and the Jordan-Dedekind chain condition,Proc. Am. Math. Soc. 28, 395–396. · Zbl 0231.06014 · doi:10.1090/S0002-9939-1971-0276144-6
[958] Haskins, L., S. Gudder, andR. Greechie (1975), Perspectivity in semimodular orthomodular posets,J. Lond. Math. Soc. 9, 495–500. · Zbl 0299.06005 · doi:10.1112/jlms/s2-9.3.495
[959] Havrda, J. (1982), Independence in a set with orthogonality,Časopis Pěst. Mat. 107, 267–272. · Zbl 0514.06005
[960] Havrda, J. (1987), Projection and covering in a set with orthogonality,Časopis Pěst. Mat. 112, 245–248. · Zbl 0629.06008
[961] Havrda, J. (1987 a), A study of independence in a set with orthogonality,Časopis Pěst. Mat. 112, 249–256. · Zbl 0629.06009
[962] Havrda, J. (1989), On a certain mapping on the set with orthogonality,Časopis Pěst. Mat. 114, 160–164. · Zbl 0672.06006
[963] Healey, R. (1979), Quantum realism; Naiveté is no excuse,Synthese 42, 121–144. · Zbl 0418.60007 · doi:10.1007/BF00413708
[964] Healey, R. (1981) (ed.),Reduction, time, and reality. Studies in the philosophy of the natural sciences. Cambridge University Press, Cambridge.
[965] Heelan, P. A. (1970), Complementarity, context dependence, and quantum logic,Found. Phys. 1, 95–100; reprinted in Hooker, C. A. (1979), pp. 161–181. · Zbl 0205.00802 · doi:10.1007/BF00708721
[966] Heelan, P. A. (1970 a), Quantum and classical logic: Their respective roles,Synthese 21, 2–23; reprinted in Cohen, R. S. and M. W. Wartofsky (1974), pp. 318–349. · Zbl 0205.00802 · doi:10.1007/BF00414186
[967] Heelan, P. A. (1971), The logic of framework transpositions,Int. Phil. Q. 11, 314–334.
[968] Hein, C. A. (1979), Entropy in operational statistics and quantum logic,Found. Phys. 9, 751–786. · doi:10.1007/BF00711107
[969] Hellman, G. (1980), Quantum logic and meaning, inPSA80, Vol. II, pp. 493–511.
[970] Hellman, G. (1981), Quantum logic and the projection postulate,Philos. Sci. 48, 469–486. · doi:10.1086/289011
[971] Hellwig, K.-E. (1969), Coexistent effects in quantum mechanics,Int. J. Theor. Phys. 2, 147–155. · doi:10.1007/BF00669562
[972] Hellwig, K.-E. (1981), Conditional expectation and duals of instruments, inMarburg79, pp. 113–124. · Zbl 0537.60033
[973] Hellwig, K.-E., andK. Kraus (1969), Pure operations and measurement,Commun. Math. Phys. 11, 214–220. · Zbl 0165.58302 · doi:10.1007/BF01645807
[974] Hellwig, K.-E., andK. Kraus (1970), Pure operations and measurement. II,Commun. Math. Phys. 16, 142–147. · Zbl 0186.28204 · doi:10.1007/BF01646620
[975] Hellwig, K.-E., andD. Krausser (1974), Propositional systems and measurements–I,Int. J. Theor. Phys. 9, 277–289. · Zbl 0404.03056 · doi:10.1007/BF01810700
[976] Hellwig, K.-E., andD. Krausser (1974 a), Propositional systems and measurements–II,Int. J. Theor. Phys. 10, 261–272; Erratum,Ibid. 17, 81. · Zbl 0404.03057 · doi:10.1007/BF01811254
[977] Hellwig, K.-E., andD. Krausser (1977), Propositional systems and measurements–III. Quasitensorproducts of certain orthomodular lattices,Int. J. Theor. Phys. 16, 775–793. · Zbl 0404.03059 · doi:10.1007/BF01807234
[978] Hellwig, K.-E., and M. Singer (1990), Distinction of classical convex structures in the general framework of statistical models, inJán90, pp. 79–84. · Zbl 0774.46042
[979] Hellwig, K.-E., andW. Stulpe (1983), A formulation of quantum stochastic processes and some of its properties,Found. Phys. 13, 673–699. · doi:10.1007/BF01889348
[980] Henkin, L. (1960), Review of Putnam,Three-valued logic, Feyerabend,Reichenbach’s interpretation of quantum mechanics, and Levi,Putnam’s three truth-values, J. Symbolic Logic 25, 289–291. · doi:10.2307/2964733
[981] Henle, J. (1985),. · Zbl 0566.03035 · doi:10.1007/BF00670801
[982] Hensz, E. (1990), Strong laws of large numbers for nearly orthogonal sequences of operators in von Neumann algebras, inJán90, pp. 85–91. · Zbl 0736.60029
[983] Hepp, K. (1972), Quantum theory of measurement and macroscopic observables,Helv. Phys. Acta 45, 237–248.
[984] Herbut, F. (1984), On a possible empirical meaning of meets and joins for quantum propositions,Lett. Math. Phys. 8, 397–402. · Zbl 0557.03042 · doi:10.1007/BF00418115
[985] Herbut, F. (1985), Characterisations of compatibility, comparability, and orthogonality of quantum propositions in terms of chains of filters,J. Phys. A 18, 2901–2907. · Zbl 0591.03049 · doi:10.1088/0305-4470/18/15/018
[986] Herbut, F. (1986), Critical investigation of Jauch’s approach of the quantum theory of measurement,Int. J. Theor. Phys. 25, 863–875. · doi:10.1007/BF00669921
[987] Herman, L. (1971), Semi-orthogonality in Rickart rings,Pacific J. Math. 39, 179–186. · Zbl 0227.16008
[988] Herman, L. (1985, 1990),.
[989] Herman, L., E. L. Marsden, andR. Piziak (1975), Implication connectives in orthomodular lattices,Notre Dame J. Formal Logic 16, 305–328. · Zbl 0305.02042 · doi:10.1305/ndjfl/1093891789
[990] Herman, L., andR. Piziak (1974), Modal propositional logic on an orthomodular basis,J. Symbolic Logic 39, 478–488. · Zbl 0301.02023 · doi:10.2307/2272890
[991] Herrmann, C. (1981), A finitely generated modular ortholattice,Can. Math. Bull. 24, 241–243. · Zbl 0457.06006 · doi:10.4153/CMB-1981-038-9
[992] Herrmann, C. (1984), On elementary Arguesian lattices with four generators,Algebra Universalis 18, 225–259. · Zbl 0539.06009 · doi:10.1007/BF01198529
[993] Hicks, T. L. (1978),.
[994] Hiley, B. J. (1980, 1980a),.
[995] Hiley, B. J. (1980 b), Towards an algebraic description of reality,Ann. Fond. L. de Broglie 5, 75–97.
[996] Hilgevoord, J. (1980, 1981),.
[997] Hockney, D. (1978), The significance of a hidden variable proof and the logical interpretation of quantum mechanics,Int. J. Theor. Phys. 17, 685–707. · doi:10.1007/BF00669974
[998] Hoering, W. (1981), On understanding quantum logic,Erkenntnis 16, 227–233. · doi:10.1007/BF00219819
[999] Holdsworth, D. G. (1977), Category theory and quantum mechanics (kinematics),J. Philos. Logic 6, 441–453. · Zbl 0392.03041 · doi:10.1007/BF00262080
[1000] Holdsworth, D. G. (1978), A role for categories in the foundations of quantum theory, inPSA78, Vol. 1, pp. 257–267.
[1001] Holdsworth, D. G., and C. A. Hooker (1983), A critical survey of quantum logic, inScientia83, pp. 127–246.
[1002] Holland, S. (1975),. · Zbl 0329.46017 · doi:10.2307/2319797
[1003] Holland, Jr., S. S. (1963), A Radon-Nikodym theorem in dimension lattices,Trans. Am. Math. Soc. 108, 66–87. · Zbl 0118.02501 · doi:10.1090/S0002-9947-1963-0151407-3
[1004] Holland, Jr., S. S. (1964), Distributivity and perspectivity in orthomodular lattices,Trans. Am. Math. Soc. 112, 330–343. · Zbl 0127.25202 · doi:10.1090/S0002-9947-1964-0168498-7
[1005] Holland, Jr., S. S. (1969), Partial solutions to Mackey’s problem about modular pairs and completeness,Can. J. Math. 21, 1518–1525. · Zbl 0188.43601 · doi:10.4153/CJM-1969-166-3
[1006] Holland, Jr., S. S. (1970), The current interest in orthomodular lattices, in Abbott, J. C. (ed.),Trends in lattice theory, Von Nostrand, New York, pp. 41–126; reprinted in Hooker, C. A. (1975); pp. 437–496.
[1007] Holland, Jr., S. S. (1970 a), Anm-orthocomplete orthomodular lattice ism-complete,Proc. Am. Math. Soc. 24, 716–718. · Zbl 0192.33601
[1008] Holland, Jr., S. S. (1973), Isomorphisms between interval sublattices of an orthomodular lattice,Hiroshima Math. J. 3, 227–241. · Zbl 0278.06005
[1009] Holland, Jr., S. S. (1973 a), Remarks on type I Baer and Baer*-rings,J. Algebra 27, 516–522. · Zbl 0278.16009 · doi:10.1016/0021-8693(73)90061-6
[1010] Holland, Jr., S. S. (1976),. · Zbl 0325.16010 · doi:10.1016/0021-8693(76)90067-3
[1011] Holland, Jr., S. S. (1977), Orderings and square roots in*-fields,J. Algebra 46, 207–219. · Zbl 0359.12023 · doi:10.1016/0021-8693(77)90402-1
[1012] Holland, Jr., S. S. (1980),*-valuations and ordered*-fields,Trans. Am. Math. Soc. 262, 219–243.
[1013] Holm, C. (1986),. · Zbl 0608.53014 · doi:10.1007/BF00668691
[1014] Hooker, C. A. (1973) (ed.),Contemporary research in the foundations of philosophy of quantum theory (Proceedings of a conference held at the University of Western Ontario, London, Ontario, Canada, 1971) [Ontario71], Reidel, Dordrecht, Holland.
[1015] Hooker, C. A. (1973 a), Metaphysics and modern physics, inOntario71, pp. 174–304.
[1016] Hooker, C. A. (1975) (ed.),The logico-algebraic approach to quantum mechanics, Vol. I.Historical evolution, Reidel, Dordrecht, Holland. · Zbl 0429.03045
[1017] Hooker, C. A. (1979) (ed.),The logico-algebraic approach to quantum mechanics, Volume II.Contemporary consolidation, Reidel, Dordrecht, Holland. · Zbl 0429.03046
[1018] Hooker, C. A. (1979 a) (ed.),Physical theory as logico-operational structure, Reidel, Dordrecht, Holland. · Zbl 0402.03053
[1019] Hooker, C. A. (1983),.
[1020] Horneffer, K. (1964),.
[1021] Horowitz, D. D. (1970), Modalities and the quantum theory,Int. J. Theor. Phys. 3, 79–80. · doi:10.1007/BF00674014
[1022] Horst, E. (1975),. · Zbl 0345.46021 · doi:10.1007/BF01808324
[1023] Horwich, P. (1982), Three forms of realism,Synthese 51, 181–201. · doi:10.1007/BF00413827
[1024] Hübner, K. (1964), Über den Begriff der Quantenlogik,Sprache Techn. Zeitalter 12, 925–934.
[1025] Hudson, R. L. (1971),. · Zbl 0224.60049 · doi:10.2307/3212170
[1026] Hudson, R. L. (1978),. · doi:10.1090/S0002-9947-1978-0511398-0
[1027] Hudson, R. L. (1981), Invited comment on Professor Bub’s paper,Erkenntnis 16, 295–297. · doi:10.1007/BF00219824
[1028] Hudson, R. L. (1988), Elements of quantum stochastic calculus, inJán88, pp. 46–52.
[1029] Hugenholtz, N. M. (1967), On the factor type of equilibrium states in quantum statistical mechanics,Commun. Math. Phys. 6, 189–193. · Zbl 0165.58702 · doi:10.1007/BF01659975
[1030] Hughes, R. I. G. (1980), Quantum logic and the interpretation of quantum mechanics, inPSA80, Vol. I, pp. 55–67.
[1031] Hughes, R. I. G. (1981), Realism and quantum logic, inErice79, pp. 77–87.
[1032] Hughes, R. I. G. (1981 a), Quantum logic,Sci. Am. 245, 146–157. · doi:10.1038/scientificamerican1081-202
[1033] Hughes, R. I. G. (1985), Semantic alternatives in partial Boolean quantum logic,J. Philos. Logic 14, 411–446. · Zbl 0585.03036 · doi:10.1007/BF00649484
[1034] Huhn, A. (1972), Schwach distributive Verbände, I.Acta Sci. Math. Szeged. 33, 297–305. · Zbl 0269.06006
[1035] Hultgren III, B. O., andA. Shimony (1977), The lattice of verifiable propositions of the spin-l system,J. Math. Phys. 18, 381–394. · doi:10.1063/1.523280
[1036] Idziak, P. M. (1988), Undecidability of relatively free Hilbert algebras,Algebra Universalis 25, 17–26. · Zbl 0646.03006 · doi:10.1007/BF01229957
[1037] Ingleby, M. (1971), Some criticism of quantum logic,Helv. Phys. Acta 44, 299–307.
[1038] Iqbalunnisa (1965), Neutrality in weakly modular lattices,Acta Math. Hung. 16, 325–326. · Zbl 0139.01203 · doi:10.1007/BF01904841
[1039] Iqbalunnisa (1971), On lattices whose lattices of congruence are Stone lattices,Fund. Math. 70, 315–318. · Zbl 0218.06003
[1040] Iturrioz, L. (1980), Orthomodular ordered sets and orthogonal closure spaces,Portugal. Math. 39, 477–488. · Zbl 0559.06005
[1041] Iturrioz, L. (1982), A simple proof of a characterization of complete orthocomplemented lattices,Bull. Lond. Math. Soc. 14, 542–544. · Zbl 0492.06008 · doi:10.1112/blms/14.6.542
[1042] Iturrioz, L. (1983), A topological representation theory for orthomodular lattices, inBolyai33, pp. 503–524. · Zbl 0558.06009
[1043] Iturrioz, L. (1986), A representation theory for orthomodular lattices by means of closure spaces,Acta Math. Hungar. 47, 145–151. · Zbl 0608.06008 · doi:10.1007/BF01949135
[1044] Iturrioz, L. (1988), Ordered structures in the description of quantum systems, in Carnielli, W. A., and L. P. de Alcantara (eds.), Mathematical progress, methods, and applications of mathematical logic (Compinas, 1985),Contemp. Math. Am. Math. Soc. 69, 55–75.
[1045] Ivanović, I. D. (1988), Two models violating Bell’s inequality,Phys. Lett. A 133, 101–104. · doi:10.1016/0375-9601(88)90766-9
[1046] Ivert, P.-A., andT. Sjödin (1978) On the impossibility of a finite prepositional lattice for quantum mechanics,Helv. Phys. Acta 51, 635–636.
[1047] Jadadczyk, A. Z. (1977),. · Zbl 0393.03046 · doi:10.1007/BF01614163
[1048] Jajte, R. (1985),Strong limit theorem in non-commutative probability theory, Springer-Verlag, Berlin. · Zbl 0554.46033
[1049] Jakubík, J. (1981), On isometries of non-Abelian lattice ordered groups,Math. Slovaca 31, 171–175. · Zbl 0457.06014
[1050] Jammer, M. (1974),The philosophy of quantum mechanics. The interpretations of quantum mechanics in historical perspective, Wiley, New York.
[1051] Jammer, M. (1982), A note on Peter Oibbins’ ”A note on quantum logic and the uncertainty principle,”Philos. Sci. 49, 478–479. · doi:10.1086/289072
[1052] Ján88,.
[1053] Ján90,.
[1054] Jancewicz, B. (1977),. · Zbl 0357.02053 · doi:10.1016/0034-4877(77)90017-9
[1055] Janiš, V. (1988), Measure induced topology in product logics, inJán88, pp. 53–54.
[1056] Janiš, V., andZ. Riečanová (1990),Completeness in sums of Boolean algebras and quantum logics, Nova Science, New York.
[1057] Janowitz, M. F. (1963), Quantifiers and orthomodular lattices,Pacific J. Math. 13, 1241–1249. · Zbl 0144.25303
[1058] Janowitz, M. F. (1964), On the antitone mapping of a poset,Proc. Am. Math. Soc. 15, 529–533. · Zbl 0135.03001 · doi:10.1090/S0002-9939-1964-0162739-3
[1059] Janowitz, M. F. (1965), IC-lattices,Portugal. Math. 24, 115–122. · Zbl 0154.01004
[1060] Janowitz, M. F. (1965 a), Quantifier theory on quasi-orthomodular lattices,Illinois J. Math. 9, 660–676. · Zbl 0146.01702
[1061] Janowitz, M. F. (1965 b), A characterization of standard ideals,Acta Math. Hungar. 16, 289–301. · Zbl 0139.01202 · doi:10.1007/BF01904837
[1062] Janowitz, M. F. (1965 c), Baer semigroups,Duke Math. J. 32, 85–96. · Zbl 0158.02303 · doi:10.1215/S0012-7094-65-03206-0
[1063] Janowitz, M. F. (1966), A semigroup approach to lattices,Can. J. Math. 18, 1212–1223. · Zbl 0154.01003 · doi:10.4153/CJM-1966-119-5
[1064] Janowitz, M. F. (1967), Residuated closure operators,Portugal. Math. 26, 221–252. · Zbl 0204.02702
[1065] Janowitz, M. F. (1967 a), The center of a complete relatively complemented lattice is a complete sublattice,Proc. Am. Math. Soc. 18, 189–190. · Zbl 0154.01002
[1066] Janowitz, M. F. (1968), A note on generalized orthomodular lattices,J. Nat. Sci. Math. 8, 89–94. · Zbl 0169.02104
[1067] Janowitz, M. F. (1968 a), Perspective properties of relatively complemented lattices,J. Nat. Sci. Math. 8, 193–210. · Zbl 0174.29703
[1068] Janowitz, M. F. (1968 b), Section semicomplemented lattices,Math. Z. 108, 63–76. · Zbl 0167.01902 · doi:10.1007/BF01110457
[1069] Janowitz, M. F. (1970), Separation conditions in relatively complemented lattices,Colloq. Math. 22, 25–34. · Zbl 0209.03902
[1070] Janowitz, M. F. (1971), Indexed orthomodular lattices,Math. Z. 119, 28–32. · Zbl 0201.01805 · doi:10.1007/BF01110940
[1071] Janowitz, M. F. (1972), Constructible lattices.J. Aust. Math. Soc. 14, 311–316. · Zbl 0201.01803 · doi:10.1017/S1446788700010776
[1072] Jnowitz, M. F. (1972 a), The near center of an orthomodular lattice,J. Aust. Math. Soc. 14, 20–29. · Zbl 0201.01804 · doi:10.1017/S1446788700009587
[1073] Janowitz, M. F. (1973) see Randali, C. H., M. F. Janowitz, and D. J. Foulis (1973).
[1074] Janowitz, M. F. (1973 a), On a paper by Iqbalunnisa,Fund. Math. 78, 177–182. · Zbl 0327.06004
[1075] Janowitz, M. F. (1976), A note on Rickart rings and semi-Boolean algebras,Algebra Universalis 6, 9–12. · Zbl 0332.06011 · doi:10.1007/BF02485810
[1076] Janowitz, M. F. (1976 a), Modular SM-semilattices,Algebra Universalis 6, 13–20. · Zbl 0332.06006 · doi:10.1007/BF02485811
[1077] Janowitz, M. F. (1977), Complemented congruences on complemented lattices,Pacific J. Math. 73, 87–90. · Zbl 0371.06005
[1078] Janowitz, M. F. (1977 a), A triple construction for SM-semilattices,Algebra Universalis 7, 389–402. · Zbl 0352.06005 · doi:10.1007/BF02485447
[1079] Jnowitz, M. F. (1980), On the*-order for Rickart*-rings,Algebra Universalis 16, 360–369. · Zbl 0516.06016 · doi:10.1007/BF01191791
[1080] Jnowitz, M. F. (1990), Interval order and semiorder lattices,Found. Phys. 20, 715–732. · doi:10.1007/BF01889457
[1081] Juch, J. M. (1959), Systeme von Observablen in der Quantenmechanik,Helv. Phys. Acta 32, 252–253. · Zbl 0088.21304
[1082] Jauch, J. M. (1960), Systems of observables in quantum mechanics,Helv. Phys. Acta 33, 711–726. · Zbl 0119.43603
[1083] Jauch, J. M. (1962,1962 a,1963) see Finkelstein, D., J. M. Jauch, S. Schiminovich, and D. Speiser (1962, 1962a, 1963).
[1084] Jauch, J. M. (1964), The problem of measurement in quantum mechanics,Helv. Phys. Acta 37, 293–316. · Zbl 0143.23002
[1085] Juch, J. M. (1965). · doi:10.1111/j.1746-8361.1965.tb00473.x
[1086] Juch, J. M. (1968),Foundations of quantum mechanics, Addison-Wesley, Reading, Massachusetts.
[1087] Juch, J. M. (1971), Foundations of quantum mechanics, inFermi70, pp. 20–55.
[1088] Juch, J. M. (1973), The mathematical structure of elementary quantum mechanics, inTrieste72, pp. 300–319.
[1089] Jauch, J. M. (1973 a), The problem of measurement in quantum mechanics, inTrieste72, pp. 84–686.
[1090] Jauch, J. M. (1974), The quantum probability calculus,Synthese 29, 131–154; reprinted in Suppes, P. (1976), pp. 123–146. · Zbl 0342.60004 · doi:10.1007/BF00484955
[1091] Juch, J. M. (1979) see Finkelstein, D., J. M. Jauch, and D. Speiser (1979).
[1092] Juch, J. M., andC. Piron (1963), Can hidden variables be excluded in quantum mechanics?,Helv. Phys. Acta 36, 827–837. · Zbl 0129.41902
[1093] Jauch, J. M., andC. Piron (1969), On the structure of quantal proposition system,Helv. Phys. Acta 42, 842–848; reprinted in Hooker, C. A. (1975), pp. 427–436. · Zbl 0181.27603
[1094] Jauch, J. M., andC. Piron (1970), What is ”Quantum logic”?, in Freund, P. G. O., C. J. Goebel, and Y. Nambu (eds.),Quanta. Essays in theoretical physics dedicated to Gregor Wentzel, University of Chicago Press, Chicago, pp. 166–181.
[1095] Jeffcott, B. (1972), The center of an orthologic,J. Symbolic Logic 37, 641–645. · Zbl 0259.02026 · doi:10.2307/2272407
[1096] Jeffcott, B. (1973), Commuting observables in a{\(\sigma\)}-orthologic,Indiana Univ. Math. J. 23, 369–376. · Zbl 0266.02020 · doi:10.1512/iumj.1973.23.23030
[1097] Jeffcott, B. (1975), Decomposable orthologics,Notre Dame J. Formal Logic 16, 329–338. · Zbl 0305.02041 · doi:10.1305/ndjfl/1093891790
[1098] Jenč, F. (1966), Remarks on quaternion quantum mechanics,Czechoslovak J. Phys. B 16, 555–562. · doi:10.1007/BF01695151
[1099] Jenč, F. (1972), Some theorems on atomicity in axiomatic quantum mechanics,J. Math. Phys. 13, 1675–1680. · doi:10.1063/1.1665891
[1100] Jenč, F. (1974), Atomicity and maximality in axiomatic quantum mechanics,Rep. Math. Phys. 6, 253–264. · doi:10.1016/0034-4877(74)90008-1
[1101] Jenč, F. (1979), The conceptual analysis (CA) method in theories of microchannels: Application to quantum theory. Part I. Fundamental concepts,Found. Phys. 9, 589–608. · doi:10.1007/BF00708371
[1102] Jenč, F. (1979 a), The conceptual analysis (CA) method in theories of microchannels: Application to quantum theory. Part II. Idealizations. ”Perfect measurements,”Found. Phys. 9, 707–737. · doi:10.1007/BF00711105
[1103] Jenč, F. (1979 b), The conceptual analysis (CA) method in theories of microchannels: Application to quantum theory. Part III. Idealizations. Hilbert space representation,Found. Phys. 9, 897–928. · doi:10.1007/BF00708699
[1104] Jenč, F. (1980), Die CA (conceptual analysis) Methode und ihre Anwendung im submikroskopischen Bereich, inCologne78, pp. 139–158.
[1105] Joensuu85, 87 see Lahti, P., and P. Mittelstaedt (1985, 1987).
[1106] Johnson, C. S. (1971), Semigroups coordinating posets and semilattices,J. Lond. Math. Soc. 4, 277–283. · Zbl 0229.06003 · doi:10.1112/jlms/s2-4.2.277
[1107] Johnson, C.S. (1971 a), On certain poset and semilattice homomorphisms,Pacific J. Math. 39, 703–715. · Zbl 0228.20049
[1108] Jones, R. (1977), Causal anomalies and the completeness of quantum theory,Synthese 35, 41–78. · Zbl 0366.02007 · doi:10.1007/BF00485435
[1109] Jones, V. F. R. (1976), Quantum mechanics over fields of non-zero characteristic,Lett. Math. Phys. 1, 99–103. · doi:10.1007/BF00398370
[1110] Jónsson, B. (1954), Modular lattices and Desargues’ theorem,Math. Scand. 2, 295–314. · Zbl 0056.38403
[1111] Jónsson, B. (1959), Lattice-theoretic approach to projective and affine geometry, in Henkin, L., P. Suppes, and A. Tarski (eds.),The axiomatic method with special reference to geometry and physics (Studies in logic and the foundations of physics), North-Holland, Amsterdam, pp. 188–203.
[1112] Jónsson, B. (1973).
[1113] Jónsson, B. (1976). · Zbl 0354.08008 · doi:10.1007/BF02485830
[1114] Jónsson, B., andJ. D. Monk (1969), Representations of primary Arguesian lattices,Pac. J. Math. 30, 95–139. · Zbl 0186.02204
[1115] Jordan, P. (1950), Zur Quanten-Logik,Arch. Math. 2, 166–177. · Zbl 0036.29602 · doi:10.1007/BF02038774
[1116] Jordan, P. (1952), Zur axiomatischen Begründung der Quantenmechanik,Z. Phys. 133, 21–29. · Zbl 0046.43706 · doi:10.1007/BF01948679
[1117] Jordan, P. (1959), Quantenlogik und das kommutative Gesetz, in Henkin, L., P. Suppes, and A. Tarski (eds.),The axiomatic method with special reference to geometry and physics, North-Holland, Amsterdam, pp. 365–375.
[1118] Jordan, P. (1962), Bemerkungen zur Quantenlogik,Ann. Fac. Sci. Univ. Clermont-Ferrand 8, 159–166.
[1119] Jordan, P., andJ. von Neumann (1935), On inner products in linear metric spaces,Ann. Math. 36, 719–732. · JFM 61.0435.05 · doi:10.2307/1968653
[1120] Jordan, P., J. von Neumann, andE. Wigner (1934), On the algebraic generalization of quantum mechanical formalism,Ann. Math. 35, 29–64. · JFM 60.0902.02 · doi:10.2307/1968117
[1121] Joshi, G. C. (1987). · Zbl 0649.46066 · doi:10.1063/1.527689
[1122] Kägi-Romano, U. (1977), Quantum logic and generalized probability theory,J. Philos. Logic 6, 455–462. · Zbl 0383.03044 · doi:10.1007/BF00262081
[1123] Kakutani, S., andG. Mackey (1944), Two characterizations of real Hilbert space,Ann. Math. 45, 50–58. · Zbl 0060.26304 · doi:10.2307/1969076
[1124] Kakutani, S., andG. Mackey (1946), Ring and lattice characterization of complex Hilbert space,Bull. Am. Math. Soc. 52, 727–733. · Zbl 0060.26305 · doi:10.1090/S0002-9904-1946-08644-9
[1125] Kalinin, V. V. (1977), Orthomodular partially ordered sets with dimension,Algebra Logics 15, 335–348 [Algebra Logika15, 535–537 (1976)]. · Zbl 0389.06011 · doi:10.1007/BF02069107
[1126] Kalinin, V. V. (1979), Dimension functions on an orthomodular partially ordered set,Constr. Th. Funct. Analysis, Kazan (Univ. Kazan) 2, 41–43. · Zbl 0466.06007
[1127] Kallus, M., andV. Trnková (1987), Symmetries and retracts of quantum logics,Int. J. Theor. Phys. 26, 1–9. · Zbl 0626.06013 · doi:10.1007/BF00672386
[1128] Kalmár, I. G. (1978), Atomistic orthomodular lattices and a generalized probability theory,Publ. Math. Debrecen 25, 139–153. · Zbl 0394.60036
[1129] Kalmár, I. G. (1983), Conditional probability measures on prepositional systems,Publ. Math. Debrecen 30, 101–115. · Zbl 0543.60003
[1130] Kalmár, I. G. (1983 a), On the measurable homomorphisms,Publ. Math. Debrecen 30, 239–241. · Zbl 0549.28017
[1131] Kalmár, I. G. (1984), On random variables on the atom space of an orthomodular atomistic{\(\sigma\)}-lattice,Publ. Math. Debrecen 31, 85–93. · Zbl 0551.60010
[1132] Kalmár, I. G. (1985),*-structures and orthomodular lattices,Publ. Math. Debrecen 32, 1–5. · Zbl 0586.06002
[1133] Kalmár, I. G. (1985 a), Lattice theoretical characterization of quantum probability space. I,Publ. Math. Debrecen 32, 179–185. · Zbl 0606.60005
[1134] Kalmbach, G. (1971, 1972, 1973) see Bruns, G., and G. Kalmbach (1971, 1972, 1973).
[1135] Kalmbach, G. (1973 a), Orthomodular logic, in Schmidt, J.,et al. (eds.),Proceedings of the Houston lattice theory conference, University of Houston, Houston, Texas, pp. 498–503. · Zbl 0294.02011
[1136] Kalmbach, G. (1974), Orthomodular logic,Z. Math. Logik Grundlag. Math. 20, 395–406. · Zbl 0373.02030 · doi:10.1002/malq.19740202504
[1137] Kalmbach, G. (1977), Orthomodular lattices do not satisfy any special lattices equation,Arch. Math. 27, 7–8. · Zbl 0356.06017 · doi:10.1007/BF01223881
[1138] Kalmbach, G. (1980), The Hilbert space model of orthomodular lattices, inBolyai33, pp. 525–547.
[1139] Klmbach, G. (1981), Omologic as a Hilbert type calculus, inErice79, pp. 330–340.
[1140] Klmbach, G. (1983), Orthomodulare Verbände,Jahresber. Deutsch Math.-Verein. 85, 33–49. · Zbl 0505.06003
[1141] Klmbach, G. (1983 a),Orthomodular lattices, Academic Press, London.
[1142] Klmbach, G. (1984), Automorphism groups of orthomodular lattices,Bull. Aust. Math. Soc. 29, 309–313. · Zbl 0538.06009 · doi:10.1017/S0004972700021560
[1143] Kalmbach, G. (1985) see Gensheimer, H., and G. Kalmbach (1985).
[1144] Kalmbach, G. (1985 a), 1982 news about orthomodular lattices,Discrete Math. 53, 125–135. · Zbl 0554.06009 · doi:10.1016/0012-365X(85)90135-9
[1145] Kalmbach, G. (1986),Measures and Hilbert lattices, World Scientific, Singapore. · Zbl 0656.06012
[1146] Kalmbach, G. (1986 a), The free orthomodular word problem is solvable,Bull. Aust. Math. Soc. 34, 219–233. · Zbl 0585.06004 · doi:10.1017/S000497270001008X
[1147] Kalmbach, G. (1990), Quantum measure spaces,Found. Phys. 20, 801–821. · doi:10.1007/BF01889692
[1148] Kalmbach, G. (1990 a), On orthomodular lattices, in Bogart, K., R. Freese and J. P. S. Kung (eds.),The Dilworth Theorems, Birkhäuser, Basel, pp. 85–87.
[1149] Kálnay, A. J. (1981), On certain intriguing physical, mathematical, and logical aspects concerning quantization,Hadronic J. 4, 1127–1165.
[1150] Kamber, F. (1964), Die Struktur des Aussagenskalkulus in einer physikalischen Theorie,Nach. Akad. Wiss. Math. Phys. Kl 10, 103–124 (1964); translation, The structure of the prepositional calculus of a physical theory, in Hooker, C. A. (1975), pp. 221–245. · Zbl 0178.30502
[1151] Kamber, F. (1965), Zweiwertige Wahrscheinlichkeitsfunktionen auf ortokomplementären Verbänden,Math. Ann. 158, 158–196. · Zbl 0152.46205 · doi:10.1007/BF01359975
[1152] Kamlah, A. (1980), Ist die Mittelstaedt-Stachowsche Quantendialogik eine analytische Theorie?, inCologne78, pp. 73–91.
[1153] Kamlah, A. (1981), The connection between Reichenbach’s three valued and v. Neumann’s lattice-theoretical quantum logic,Erkenntnis 16, 315–325.
[1154] Kamlah, A. (1981 a), Some remarks on a paper by P. Suppes,Erkenntnis 16, 327–333.
[1155] Kannenberg, L. (1989), Quantum formalism via signal analysis,Found. Phys. 19, 367–383. · doi:10.1007/BF00731831
[1156] Kaplansky, I. (1955), Any orthocomplemented complete modular lattice is a continuous geometry,Ann. Math. 61, 524–541. · Zbl 0065.01801 · doi:10.2307/1969811
[1157] Katriňák, T. (1970), Eine Charakterisierung der fast schwach modularen Verbände,Math. Z. 114, 49–58. · Zbl 0188.04401 · doi:10.1007/BF01111868
[1158] Katriňák, T., andT. Neubrunn (1973), On certain generalized probability domains,Mat. Časopis 23, 209–215. · Zbl 0267.28001
[1159] Katrnoška, F. (1982), On the representation of orthocomplemented posets,Comment. Math. Univ. Carolin. 23, 489–498. · Zbl 0517.06002
[1160] Katrnoška, F. (1985), A characterization of the center of an orthomodular poset,Sci. Papers Prague Inst. Chem. Techn. Math. M 1, 113–120.
[1161] Katrnoška, F. (1988), On some topological results concerning the orthopnsets, inProceedings of the conference: Topology and Measure V (Binz, Germany, 1987), Wissenschaftliche Beitrage der Ernst-Moritz-Arndt Universität, Greifswald (1988), pp. 95–101.
[1162] Keane, M. (1985) see Cooke, R., M. Keane, and W. Moran (1985).
[1163] Keller, H. A. (1980), Eine nicht-klassischer Hilbertscher Raum,Math. Z. 172, 41–49. · Zbl 0423.46013 · doi:10.1007/BF01182777
[1164] Keller, H. A. (1980 a), On the lattice of all closed subspaces of a Hermitian space,Pacific J. Math. 89, 105–110. · Zbl 0439.46015
[1165] Keller, H. A. (1981, 1983).
[1166] Keller, H. A. (1986), On valued, complete fields and their automorphism,Pacific J. Math. 121, 397–406. · Zbl 0546.12014
[1167] Keller, H. A. (1988), Measures on orthomodular vector space lattices,Studia Math. 88, 183–195. · Zbl 0656.46051
[1168] Keller, H. A. (1990), Measures on infinite-dimensional orthomodular spaces,Found. Phys. 20, 575–604. · doi:10.1007/BF01883240
[1169] Keller, K. (1988), Orthoposets of extreme points, inProceedings of the conference: Topology and Measure V (Binz, Germany, 1987), Wissenschaftliche Beitrage der Ernst-Moritz-Arndt Universität, Greifswald (1988), pp. 102–108.
[1170] Keller, K. (1988 a), Extreme point embeddings of orthoposets, inJán88, pp. 59–63. · Zbl 0691.03044
[1171] Keller, K. (1989), Set of states and extreme points,Int. J. Theor. Phys. 28, 27–34. · Zbl 0673.03048 · doi:10.1007/BF00670369
[1172] Keller, K. (1989 a), Orthoposets of extreme points of order-intervals,Math. Nachr. 143, 75–83. · Zbl 0681.46004 · doi:10.1002/mana.19891430107
[1173] Keller, K. (1989 b), Orthoposets of extreme points and quantum logics,Rep. Math. Phys. 27, 169–178. · Zbl 0712.03048 · doi:10.1016/0034-4877(89)90003-7
[1174] Keller, K. (1990), On the projection lattice of aW *-algebra, inJán90, pp. 105–109. · Zbl 0805.46070
[1175] Kimble, Jr., R. J. (1969), Ortho-implication algebras,Notices Am. Math. Soc. 16, 772–773.
[1176] Klagenfurt82 see Eigenthaler, G.,et al. (1983).
[1177] Kläy, M. P. (1985),Stochastic models on empirical systems, empirical logic and quantum logics, and states on hypergraphs (Dissertation, University of Bern, Fischer Druck, Münsingen, Switzerland. · Zbl 0576.03040
[1178] Kläy, M. P. (1986).
[1179] Kläy, M. P. (1987), Quantum logic properties of hypergraphs,Found. Phys. 17, 1019–1036. · doi:10.1007/BF00938010
[1180] Kläy, M. P. (1988), Einstein-Podolsky-Rosen experiments: The structure of the probability space. I.Found. Phys. Lett. 1, 205–244. · doi:10.1007/BF00690066
[1181] Kläy, M. P. (1988 a), Einstein-Podolsky-Rosen experiments: The structure of the probability space. II.Found. Phys. Lett. 1, 305–319. · doi:10.1007/BF00696357
[1182] Kläy, M. P., andD. J. Foulis (1990), Maximum likelihood estimation on generalized sample spaces: An alternative resolution of Simpson’s paradox,Found. Phys. 20, 777–779. · doi:10.1007/BF01889691
[1183] Kläy, M. P., C. Randall, andD. Foulis (1987), Tensor product and probability weights,Int. J. Theor. Phys. 26, 199–219. · Zbl 0641.46049 · doi:10.1007/BF00668911
[1184] Klukowski, J. (1975), On Boolean orthomodular posets,Demonstratio Math. 8, 405–423. · Zbl 0359.06017
[1185] Klukowski, J. (1975 a), On the representation of Boolean orthomodular partially ordered sets,Demonstratio Math. 8, 405–423. · Zbl 0359.06017
[1186] Klüppel, M., andH. Neumann (1989), The space-time structure of quantum systems in external fields,Found. Phys. 19, 985–998. · doi:10.1007/BF01883152
[1187] Kochen, S., andE. P. Specker (1965), Logical structures arising in quantum theory, in Addison, J., L. Henkin, and A. Tarski (eds.),The theory of models, North-Holland, Amsterdam, pp. 177–189; reprinted in Hooker, C. A. (1975), pp. 263–276. · Zbl 0171.25402
[1188] Kochen, S., andE. P. Specker (1965 a), The calculus of partial propositional functions, in Bar-Hillel, Y. (ed.),Logic, methodology, and philosophy of science, North-Holland, Amsterdam, pp. 45–57; reprinted in Hooker, C. A. (1975), pp. 277–292. · Zbl 0154.25307
[1189] Kochen, S., andE. P. Specker (1967), The problem of hidden variables in quantum mechanics,J. Math. Mech. 17, 59–67 (1967); reprinted in Hooker, C. A. (1975), pp. 293–328. · Zbl 0156.23302
[1190] Kolesárová, A., andR. Mesiar (1990), A note on a representation of fuzzy observables,Bull. Sous-Ensembl. Flous Appl. 43, 42–48.
[1191] Köhler, E. (1982), Orthomodulare Verbände mit Regularitätsbedingungen,J. Geom. 19, 130–145. · Zbl 0511.06006 · doi:10.1007/BF01930874
[1192] Kôpka, F. (1988, 1990).
[1193] Kôpka, F., and B. Riečan (1988), On representation of observables by Boreal measurable functions, inJán88, pp. 68–71.
[1194] Kostro, L., A. Posiewnik, J. Pykacz, and M. Zukowski (1988) (eds.),Problems in quantum physics;Gdańsk ’87, Recent and future experiments and interpretations (Proceedings of a symposium held in Gdańsk, Poland, September 21–25, 1987), World Scientific, Singapore (1988).
[1195] Kotas, J. (1963), Axioms for Birkoff-v. Neumann quantum logic,Bull. Acad. Polon. Sci. Sci. Math. Astron. Phys. 11, 629–632.
[1196] Kotas, J. (1963 a), On decomposition of the modular ortocomplementary finite-generated lattice,Bull. Acad. Polon. Sci. Sci. Math. Astron. Phys. 11, 639–642. · Zbl 0122.25803
[1197] Kotas, J. (1967), An axiom system for the modular logic,Studia Logica 21, 17–38. · Zbl 0333.02023 · doi:10.1007/BF02123412
[1198] Kotas, J. (1971), The modular logic as a calculus of logical schemata,Studia Logica 27, 73–78. · Zbl 0265.02025 · doi:10.1007/BF02282550
[1199] Kotas, J. (1974), On quantity of logical values in the discussive D2 system and in modular logic,Studia Logica 33, 273–275. · Zbl 0317.02032 · doi:10.1007/BF02123281
[1200] Krakowiak, W. (1985), Zero-one laws for A-decomposable measures on Banach spaces,Bull. Polish Acad. Sci. Math. 33, 85–90. · Zbl 0564.60037
[1201] Kraus, K. (1968), Algebras of observables with continuous representation of symmetry groups,Commun. Math. Phys. 7, 99–111. · Zbl 0152.46004 · doi:10.1007/BF01648329
[1202] Kraus, K. (1969, 1970).
[1203] Kraus, K. 1971), General state changes in quantum theory,Ann. Phys. (NY)64, 311–335. · Zbl 1229.81137 · doi:10.1016/0003-4916(71)90108-4
[1204] Kraus, K. (1974), Operations and effects in the Hilbert space formulation of quantum theory, inMarburg73, pp. 206–229.
[1205] Kraus, K. (1983),States, effects, and operations. Fundamental notions of quantum theory, Lectures in mathematical physics at the University of Texas at Austin (Lecture Notes in Physics 190), Springer-Verlag, Berlin.
[1206] Krause, U. (1974), The inner orthogonality of convex sets in axiomatic quantum mechanics, inMarburg73, pp. 269–280.
[1207] Kransser, D. (1974,1974a,1977).
[1208] Krausser, D. (1982), On orthomodular amalgamation of Boolean algebras,Arch. Math. 39, 92–96. · Zbl 0479.06003 · doi:10.1007/BF01899249
[1209] Kristóf, J. (1985), Ortholattis linéarisables,Acta Sci. Math. Szeged. 49, 387–395. · Zbl 0607.06005
[1210] Kröger, H. (1973), Zwerch-Assoziativität und verbandsänliche Algebren,Bayerische Akad. Wiss. Math. Naturwiss. Kl Sitzungsber. 1973, 23–48. · Zbl 0311.06004
[1211] Kröger, H. (1976), Das Assoziativgesetz als Komutativitätsaxiom in Booleschen Zwerchver-bänden,J. Reine Angew. Math. 285, 53–58. · Zbl 0326.06008 · doi:10.1515/crll.1976.285.53
[1212] Kröger, H. (1979), Ein Assoziativitätskriterium von Foulis-Holland-Typ,J. Reine Angew. Math. 289, 196–198. · Zbl 0366.06017
[1213] Kron, A. (1983), Is the concept of an oml definable in relevance logic?, inSalzburg83, pp. 90–93.
[1214] Kron, A., Z. Marić, and S. Vujošević (1981), Entailment and quantum logic, inErice79, pp. 193–207.
[1215] Kronfli, N. S. (1969), Abstract scattering theory,Int. J. Theor. Phys. 2, 345–349. · doi:10.1007/BF00670701
[1216] Kronfli, N. S. (1970), States on generalized logics,Int. J. Theor. Phys. 3, 191–198. · doi:10.1007/BF00671002
[1217] Kronfli, N. S. (1970 a), Integration theory of observables,Int. J. Theor. Phys. 3, 199–204; reprinted in Hooker, C. A. (1975), pp. 497–502. · doi:10.1007/BF00671003
[1218] Kronfli, N. S. (1970 b), Probabilistic formulation of classical mechanics,Int. J. Theor. Phys. 3, 395–399; reprinted in Hooker, C. A. (1975), pp. 503–507. · doi:10.1007/BF00671868
[1219] Kronfli, N. S. (1971), Atomicity and determinism in Boolean systems,Int. J. Theor. Phys. 4, 141–143; reprinted in Hooker, C. A. (1975), pp. 509–512. · doi:10.1007/BF00670389
[1220] Kruszyński, P. (1976), Automorphisms of quantum logic,Rep. Math. Phys. 10, 213–217. · doi:10.1016/0034-4877(76)90043-4
[1221] Krnszyński, P. (1980), Remark on automorphisms of quantum logic,Rep. Math. Phys. 17, 59–61. · Zbl 0465.03027 · doi:10.1016/0034-4877(80)90077-4
[1222] Kruszyński, P. (1981), Non-linear integration and signed measures on von Neumann algebras, inErice79, pp. 437–445.
[1223] Kuhn, K. P. (1983), Extending homomorphisms from orthomodular lattices to Foulis semigroups, inKlagenfurt82, pp. 229–232. · Zbl 0522.06011
[1224] Kummer, H. (1971). · Zbl 0219.54003 · doi:10.1512/iumj.1971.21.21008
[1225] Kummer, H. (1987), A constructive approach to the foundations of quantum mechanics,Found. Phys. 17, 1–62. · doi:10.1007/BF00751152
[1226] Kummer, H. (1990), JB-algebras and foundational questions of quantum mechanics (A constructive approach to the foundations of quantum mechanics), inGdańsk89, pp. 55–65.
[1227] Kunsemülier, H. (1964), Zur Axiomatik der Quantenlogik,Phil. Natur. 8, 363–376.
[1228] Künzi, U.-M. (1985).
[1229] Kupczyński, M. (1974), Is Hilbert space language too rich?,Int. J. Theor. Phys. 10, 297–316; reprinted in Hooker, C. A. (1979a), pp. 89–113. · doi:10.1007/BF01808040
[1230] Kusak, E. (1987), Desarguesian Euclidean planes and their axiom system,Bull. Polish Acad. Sci. Math. 35, 87–91. · Zbl 0618.51001
[1231] Kuznetsov, B. G. (1970/1971), On quantum-relativistic logic,Sov. Studies Philos. 9, 203–211.
[1232] Kuznetsov, B. G.,et al. (1970/1971), Soviet symposium on logic and quantum mechanics,Sov. Studies Philos. 9, 203–236.
[1233] Kyuno, S. (1979), An inductive algorithm to construct finite lattices,Math. Comp. 33, 409–421. · Zbl 0422.06006 · doi:10.1090/S0025-5718-1979-0514837-9
[1234] Lahti, P. J. (1979), On the expectation values of an observable in quantum logic,Bull. Acad. Polon. Sci. Sci. Math. Astron. Phys. 27, 631–636. · Zbl 0437.03036
[1235] Lahti, P. J. (1980). · doi:10.1007/BF00671817
[1236] Lahti, P. J. (1980 a), Uncertainty and complementarity in axiomatic quantum mechanics,Int. J. Theor. Phys. 19, 789–842. · doi:10.1007/BF00670506
[1237] Lahti, P. J. (1980 b), Characterization of quantum logics,Int. J. Theor. Phys. 19, 905–923. · Zbl 0473.03055 · doi:10.1007/BF00671482
[1238] Lahti, P. J. (1980 c), Uncertainty principle and complementarity in axiomatic quantum mechanics,Rep. Math. Phys. 17, 287–298. · doi:10.1016/0034-4877(80)90069-5
[1239] Lahti, P. J. (1981), On the inter-relations of the three quantal principles, inErice79, pp. 447–454.
[1240] Lahti, P. J. (1983), Hilbertian quantum theory as a theory of complementarity,Int. J. Theor. Phys. 22, 911–929. · doi:10.1007/BF02080476
[1241] Lahti, P. J. (1985). · doi:10.1086/289222
[1242] Lahti, P. J. (1985 a), Uncertainty, complementarity, and commutativity, inCologne84, pp. 45–59.
[1243] Lahti, P. J. (1985 b), On the role of projection postulate in quantum theory,Rep. Math. Phys. 21, 267–280. · Zbl 0592.46065 · doi:10.1016/0034-4877(85)90064-3
[1244] Lahti, P. J. (1985 c), A coherent superposition principle and the Hilbertian quantum theory,Rep. Math. Phys. 22, 49–62. · Zbl 0616.46071 · doi:10.1016/0034-4877(85)90005-9
[1245] Lahti, P. J. (1986), States of minimal uncertainty and maximal information for position and momentum observables in quantum theory,Rep. Math. Phys. 23, 289–296. · Zbl 0632.46069 · doi:10.1016/0034-4877(86)90025-X
[1246] Lahti, P. J., andS. Bugajski (1985), Fundamental principles of quantum theory. II. From a convexity scheme to the DHB theory,Int. J. Theor. Phys. 24, 1051–1080. · doi:10.1007/BF00671306
[1247] Lahti, P. J., andP. Mittelstaedt (1985) (eds.),Symposium on the foundations of modem physics. 50 years of the Einstein-Podohky-Rosen Gedankenexperiment (Proceedings of the Symposium held in Joensuu, Finland, June 16–20, 1985) [Joensuu85], World Scientific, Singapore.
[1248] Lahti, P. J., andP. Mittelstaedt (1987) (eds.),Symposium on the foundations of modern physics. The Copenhagen interpretation 60 years after the Como lecture (Proceedings of the Symposium held in Joensuu, Finland, August 6–8, 1987) [Joensuu87], World Scientific, Singapore.
[1249] Lakser, H. (1973).
[1250] Landsberg, P. T. (1947), An algebra of observables,Philos. Mag. J. Sci. 38, 757–773. · Zbl 0041.32902
[1251] Länger, H. (1983).
[1252] Länger, H. (1983 a), A groupoid-theoretic approach to axiomatic quantum mechanics, inKlagenfurt82, pp. 239–256.
[1253] Länger, H. (1983 b), Klassen von Baer*-Halbgruppen und orthomodularen Verbänden,Osterreich. Akad. Wiss. Math. Nat. Kl. Sitzungsber. II 192, 17–24. · Zbl 0528.06015
[1254] Länger, H. (1986), A characterization of modularity and orthomodularity,Algebra Universalis 22, 97–98. · Zbl 0591.06012 · doi:10.1007/BF01190739
[1255] Länger, H., andM. Maczyński (1988), An order theoretical characterization of spectral measures, in Dorninger, D., G. Eigenthaler, H. K. Kaiser, and W. B. Müller (eds.),Contributions to general algebra 6. Dedicated to the memory of Wilfried Nöbauer, HölderPichler-Tempsky/Teubner, Vienna/Stuttgart, pp. 181–188.
[1256] Latzer, R. W. (1974), Errors in the no hidden variable proof of Kochen and Specker,Synthese 29, 331–372; reprinted in Suppes, P. (1976), pp. 323–364. · doi:10.1007/BF00484964
[1257] Leininger, C. W. (1969), Concerning some proposal for quantum logic,Notre Dame J. Formal Logic 10, 95–96. · Zbl 0191.29003 · doi:10.1305/ndjfl/1093893590
[1258] Lenard, A. (1974), A remark on the Kochen-Specker theorem, in Enz, C. P., and J. Mehra (eds.),Physical reality and mathematical description, Reidel, Dordrecht, Holland, pp. 226–233. · Zbl 0323.46067
[1259] Lenk, H. (1969), Philosophische Kritik an Begründungen von Kvantenlogik,Phil. Natur. 11, 413–425.
[1260] Leutola, K., andJ. Nieminen (1983), Posets and generalized lattices,Algebra Universalis 16, 344–354. · Zbl 0514.06003 · doi:10.1007/BF01191789
[1261] Lewis, J. T. (1970). · Zbl 0194.58304 · doi:10.1007/BF01647093
[1262] Lock, P. F., andG. M. Hardegree (1985), Connections among quantum logics. Part I. Quantum prepositional logics,Int. J. Theor. Phys. 24, 43–53. · Zbl 0592.03051 · doi:10.1007/BF00670072
[1263] Lock, P. F., andG. M. Hardegree (1985 a), Connections among quantum logics. Part II. Quantum event logics,Int. J. Theor. Phys. 24, 55–61. · Zbl 0592.03052 · doi:10.1007/BF00670073
[1264] Lock, P. F., andLock, R. H. (1984), Tensor product of generalized sample spaces,Int. J. Theor. Phys. 23, 629–641. · Zbl 0544.03033 · doi:10.1007/BF02214134
[1265] Lock, R. H. (1984). · Zbl 0544.03033 · doi:10.1007/BF02214134
[1266] Lock, R. H. (1986), The tensor product of operational logics,Can. J. Math. 38, 1065–1080. · Zbl 0597.03039 · doi:10.4153/CJM-1986-052-3
[1267] Lock, R. H. (1990), The tensor product of generalized sample spaces which admit a unital set of dispersion-free weights,Found. Phys. 20, 477–498. · doi:10.1007/BF01883236
[1268] Logika kvantovoi mehaniki (1986),Universitetskya nauchnaya konferenciya, MGU, 26–27 dekabra 1986g (A conference held at the Moscow State University ’Lomonosov,’ December 26–27, 1986) [Moscow86] [A collection of short abstracts in Russian without further references].
[1269] Logli, A. (1988).
[1270] Lomecky, Z. (1985). · Zbl 0574.06007 · doi:10.1007/BF01195138
[1271] Long, Le Ba (1990), On a representation of observables in fuzzy quantum posets, inJán90, pp. 132–138.
[1272] Loomis, L. H. (1947), On the representation of{\(\sigma\)}-complete Boolean algebras,Bull. Am. Math. Soc. 53, 757–760. · Zbl 0033.01103 · doi:10.1090/S0002-9904-1947-08866-2
[1273] Loomis, L. H. (1955), The lattice theoretic background of the dimension theory of operator algebras,Mem. Am. Math. Soc. 18, 1–36. · Zbl 0067.08702
[1274] Lopes, J. L., andM. Paty (1977) (eds.),Quantum mechanics a half century later.Papers of a colloquium on fifty years of quantum mechanics, held at the University Louis Pasteur, Strasbourg, May 2–4, 1974 [Strasbourg74], Reidel, Dordrecht, Holland.
[1275] Loś, J. (1963), Semantic representation of the probability of formulas in formalized theories,Studia Logica 14, 183–196; reprinted in Hooker, C. A. (1975), pp. 205–219. · Zbl 0292.02008 · doi:10.1007/BF02121785
[1276] Lowdesnlager, D. B. (1957), On postulates for general quantum mechanics,Proc. Am. Math. Soc. 8, 88–91. · Zbl 0079.13003 · doi:10.1090/S0002-9939-1957-0084741-9
[1277] Loyola77, 79 see Marlow, A. R. (1978, 1980a).
[1278] Lubkin, E. (1976), Quantum logic, convexity, and a Necker-cube experiment, inOntario73III, pp. 145–153. · Zbl 0359.02021
[1279] Ludwig, G. (1954),Die Grundlagen der Quantenmechanik, Springer-Verlag, Berlin. · Zbl 0058.22803
[1280] Ludwig, G. (1964), Versuch einer axiomatischen Grundlegung der Quantenmechanik und allgemeiner physikalischer Theorien,Z. Phys. 181, 233–260. · Zbl 0143.22904 · doi:10.1007/BF01418533
[1281] Ludwig, G. (1967), Attempt of an axiomatic foundation of quantum mechanics and more general theories. II,Commun. Math. Phys. 4, 331–348. · Zbl 0148.23702 · doi:10.1007/BF01653647
[1282] Ludwig, G. (1967 a), Hauptsätze über das Messen als Grundlage der Hilbert-Raum-Struktur der Quantenmechanik,Z. Naturforsch. 22A, 1303–1323. · Zbl 0152.46201
[1283] Ludwig, G. (1967 b), Ein weiterer Hauptsatz über das Messen als Grundlage der Hilbert-Raum-Struktur der Quantenmechanik,Z. Naturforsch. 22A, 1324–1327. · Zbl 0152.46202
[1284] Ludwig, G. (1968), Attempt of an axiomatic foundation of quantum mechanics and more general theories. III,Commun. Math. Phys. 9, 1–12. · Zbl 0159.59701 · doi:10.1007/BF01654027
[1285] Ludwig, G. (1971),Deutung des Begrifs ’physikalische Theorie’ und axiomatische Grundlegung der Hilbert-Raum-Struktur der Quantenmechanik durch Hauptsätze des Messens (Lecture Notes in Physics 23), Springer-Verlag, Berlin.
[1286] Ludwig, G. (1971 a), The measuring process and an axiomatic foundation of quantum mechanics, inFermi70, pp. 287–315.
[1287] Ludwig, G. (1972), An improved formulation of some theorems and axioms in the axiomatic foundation of the Hilbert space structure of quantum mechanics,Commun. Math. Phys. 26, 78–86. · Zbl 0232.47054 · doi:10.1007/BF01877548
[1288] Ludwig, G. (1973), Why a new approach to found quantum theory?, inTrieste72, pp. 702–708.
[1289] Ludwig, G. (1974), Measuring and preparing processes, inMarburg73, pp. 122–162.
[1290] Ludwig, G. (1977), A theoretical description of single microsystems, in Price, W. C., and S. S. Chissick (eds.),The uncertainty principle and foundations of quantum mechanics: A fifty years’ survey, Wiley, New York, pp. 189–226.
[1291] Ludwig, G. (1978),Die Grundstrukturen einer physikalischen Theorie, Springer-Verlag, Berlin. · Zbl 0387.00010
[1292] Ludwig, G. (1980), Das Problem der Ja-Nein Messung in der Quantenmechanik, inCologne78, pp. 9–21.
[1293] Ludwig, G. (1981), Quantum theory as a theory of interactions between microscopic systems which can be described objectively,Erkenntnis 16, 359–387. · doi:10.1007/BF00211377
[1294] Ludwig, G. (1981 a), Eigenschaften und Pseudoeigenschaften von Mikrosystemen, in Nitsch, J., J. Pfarr, und E.-W. Stachow (1981), pp. 217–242.
[1295] Ludwig, G. (1981 b), An axiomatic basis of quantum mechanics, inMarburg79, pp. 49–70.
[1296] Ludwig, G. (1983/1985),Foundations of quantum mechanics. I, II [A translation of Ludwig, G. (1954)], Springer-Verlag, New York.
[1297] Ludwig, G. (1985 a),An axiomatic basis for quantum mechanics, Vol. 1,Derivation of Hilbert space structure, Springer-Verlag, New York. · Zbl 0582.46065
[1298] Ludwig, G. (1985 b), Construction of a formal language and a logic ”a priori” and ”a posteriori,” inCologne84, pp. 105–110.
[1299] Ludwig, G. (1987),An axiomatic basis for quantum mechanics, Vol. 2,Quantum mechanics and macrosystenis, Springer-Verlag, New York. · Zbl 0636.46065
[1300] Ludwig, G. (1987 a), An axiomatic basis as the desired form of a physical theory, inMoscow87, Vol. 2, pp. 6–8.
[1301] Ludwig, G. (1989), Atoms: Are they real or are they objects?,Found. Phys. 19, 971–983. · doi:10.1007/BF01883151
[1302] Ludwig, G. (1990), Concepts of states in physics,Found. Phys. 20, 621–633. · doi:10.1007/BF01889451
[1303] Ludwig, G. (1990 a),Les structures de base d’une théorie physique [A translation of Ludwig, G. (1978)], Springer-Verlag, Berlin.
[1304] Ludwig, G., and H. Neumann (1981), Connections between different approaches to the foundations of quantum mechanics, inMarburg79, pp. 133–143. · Zbl 0495.03043
[1305] Lungarzo, C. A. (1978), Topologies on quantum logics induced by the set,Butt. Polish Acad. Sci. Ins. Phil Sociol Bull Sect. Logic 7, 191–197. · Zbl 0426.03068
[1306] Lutterová, T., andS. Pulmannová (1985), An individual ergodic theorem on the Hilbert space logic,Math. Slovaca 35, 361–371. · Zbl 0597.46066
[1307] Mackey, G. (1944). · Zbl 0060.26304 · doi:10.2307/1969076
[1308] Mackey, G. W. (1945), On infinite dimensional linear spaces,Trans. Am. Math. Soc. 57, 155–207. · Zbl 0061.24301 · doi:10.1090/S0002-9947-1945-0012204-1
[1309] Mackey, G. (1946). · Zbl 0060.26305 · doi:10.1090/S0002-9904-1946-08644-9
[1310] Mackey, G. W. (1957), Quantum mechanics and Hilbert space,Am. Math. Monthly 64, 45–57. · Zbl 0137.23805 · doi:10.2307/2308516
[1311] Mackey, G. W. (1963),The mathematical foundations of quantum mechanics. A lecture-note volume, Benjamin, New York. · Zbl 0114.44002
[1312] MacLaren, M. D. (1964), Atomic orthocomplemented lattices,Pacific J. Math. 14, 597–612. · Zbl 0122.02201
[1313] MacLaren, M. D. (1965), Nearly modular orthocomplemented lattices,Trans. Am. Math. Soc. 114, 401–416. · Zbl 0202.31902 · doi:10.1090/S0002-9947-1965-0191853-7
[1314] Maczyński, M. (1967), A remark on Mackey’s axiom system for quantum mechanics,Bull. Acad. Polon. Sci. Sci. Math. Astron. Phys. 15, 583–587. · Zbl 0203.00801
[1315] Maczyński, M. (1970), Quantum families of Boolean algebras,Butt. Acad. Polon. Sci. Sci. Math. Astron. Phys. 18, 93–96. · Zbl 0201.30503
[1316] Maczyński, M. (1971), Boolean properties of observables in axiomatic quantum mechanics,Rep. Math. Phys. 2, 135–150. · Zbl 0222.02071 · doi:10.1016/0034-4877(71)90026-7
[1317] Maczyński, M. (1971 a), On representing observables in axiomatic quantum mechanics by point mappings,Bull. Acad. Polon. Sci. Sci. Math. Astron. Phys. 19, 335–339. · Zbl 0218.02023
[1318] Maczyński, M. (1971 b), Probability measures on a Boolean algebra,Bull. Acad. Polon. Sci. Sci. Math. Astron. Phys. 19, 849–852. · Zbl 0249.60002
[1319] Maczyński, M. (1972), Hilbert space formalism of quantum mechanics without the Hilbert space axiom,Rep. Math. Phys. 3, 209–219. · doi:10.1016/0034-4877(72)90005-5
[1320] Maczyński, M. (1973), The orthogonality postulate in axiomatic quantum mechanics,Int. J. Theor. Phys. 8, 353–360. · doi:10.1007/BF00687092
[1321] Maczyński, M. (1973 a), The field of real numbers in axiomatic quantum mechanics,J. Math. Phys. 14, 1469–1471. · doi:10.1063/1.1666206
[1322] Maczyński, M. (1973 b), On a functional representation of the lattice of projections on a Hilbert space,Studia Math. 47, 253–259.
[1323] Maczyński, M. (1974), Functional properties of quantum logics,Int. J. Theor. Phys. 11, 149–156. · doi:10.1007/BF01809565
[1324] Maczyński, M. (1974 a), When the topology of an infinite-dimensional Banach space coincides with a Hilbert space topology?,Studia Math. 44, 149–152. · Zbl 0243.46021
[1325] Maczyński, M. (1974 b), On a lattice characterization of Hilbert spaces,Colloq. Math. 31, 243–248. · Zbl 0297.46019
[1326] Maczyński, M. (1975),{\(\sigma\)}-orthodistributivity in{\(\sigma\)}-orthocomplemented partially ordered sets,Bull. Acad. Polon. Sci. Sci. Math. Astron. Phys. 23, 231–236. · Zbl 0316.06002
[1327] Maczyński, M. (1976), Orthomodularity and lattice characterization of Hilbert spaces,Bull. Acad. Polon. Sci. Sci. Math. Astron. Phys. 24, 481–484. · Zbl 0329.46018
[1328] Maczyński, M. (1977), A remark on Mackey’s problem about modular pairs and completeness,Bull. Acad. Polon. Sci. Sci. Math. Astron. Phys. 25, 27–31. · Zbl 0345.46017
[1329] Maczyński, M. (1978), A generalization of A. Horn and A. Tarski’s theorem on weak{\(\sigma\)}-distributivity,Demonstratio Math. 11, 215–223.
[1330] Maczyński, M. (1981), Commutativity and generalized transition probability in quantum logic, inErice79, pp. 355–364.
[1331] Maczyński, M. (1981 a), A numerical characterization of commuting projections in Hilbert spaces,Bull Acad. Polon. Sci. Sci. Math. Astron. Phys. 29, 157–163.
[1332] Maczyński, M. (1983).
[1333] Maczyński, M. (1983 a), A functional characterization of inner product vector spaces,Demonstratio Math. 16, 797–803. · Zbl 0545.46015
[1334] Maczyński, M. (1985), A theorem on simultaneous verification of sequences of propositions in quantum logic, inCologne84, pp. 329–336.
[1335] Maczyński, M. (1985 a), An abstract derivation of the inequality related to Heisenberg uncertainty principle,Rep. Math. Phys. 21, 281–290. · Zbl 0588.46045 · doi:10.1016/0034-4877(85)90065-5
[1336] Maczyński, M. (1988), Orthomodularity in partially ordered vector spaces,Bull. Polish Acad. Sci. Math. 36, 299–306. · Zbl 0771.46005
[1337] Maczyński, M. (1988 a) see Länger, H., and Maczyński (1988).
[1338] Maczyński, M. (1988 b), Generalized Riesz spaces with orthomodular basis, inJán88, pp. 72–76.
[1339] Maczyński, M., andT. Traczyk (1973), A characterization of orthomodular partially ordered sets admitting a full set of states,Butt. Acad. Polon. Sci. Sci. Math. Astron. Phys. 21, 3–8. · Zbl 0265.06003
[1340] Maczyński, M., andT. Traczyk (1975), Some representations of orthomodular and similar posets,Acta Fac. Rerum Natur. Univ. Comenian. Math. Special No. 1975, 25–28. · Zbl 0301.06005
[1341] Maeda, F. (1950), Representation of orthomodular lattices,J. Sci. Hiroshima Univ. 14, 93–96.
[1342] Maeda, F., andS. Maeda (1970),Theory of symmetric lattices, Springer-Verlag, Berlin. · Zbl 0219.06002
[1343] Maeda, S. (1955), Dimension functions on certain general lattices,J. Sci. Hiroshima Univ. A 19, 211–237. · Zbl 0068.02502
[1344] Maeda, S. (1958), On the lattice of projections of a Baer*-ring,J. Sci. Hiroshima Univ. A. 24, 509–525. · Zbl 0099.26102
[1345] Maeda, S. (1960), On relatively semiorthocomplemented lattices,J. Sci. Hiroshima Univ. A. 24, 155–161. · Zbl 0178.33701
[1346] Maeda, S. (1960 a), On a ring whose principal right ideals generated by idempotents form a lattice,J. Sci. Hiroshima Univ. A 24, 508–525. · Zbl 0204.04503
[1347] Maeda, S. (1961), Dimension theory on relatively semiorthocomplemented complete lattices,J. Sci. Hiroshima Univ A. 25, 369–404. · Zbl 0104.25703
[1348] Maeda, S. (1965), On the symmetry of the modular relation in atomic lattices,J. Sci. Hiroshima Univ. A 29, 165–170. · Zbl 0146.01603
[1349] Maeda, S. (1966), On conditions for the orthomodularity,Proc. Japan Acad. 42, 247–251. · Zbl 0158.01701 · doi:10.3792/pja/1195522085
[1350] Maeda, S. (1967), On atomic lattices with the covering property,J. Sci. Hiroshima Univ. A 31, 105–121. · Zbl 0162.03403
[1351] Maeda, S. (1970).
[1352] Maeda, S. (1975), On*-rings satisfying the square root axiom,Proc. Am. Math. Soc. 52, 188–190. · Zbl 0308.46049
[1353] Maeda, S. (1976), Independent complements in lattices,Coll. Math. Soc. János Bolyai 14, 215–226. · Zbl 0361.06009
[1354] Maeda, S. (1976 a), On arcs in the space of projections ofC *-algebra,Math. Japonica 21, 371–374. · Zbl 0353.46051
[1355] Maeda, S. (1977), On the distance between two projections in aC *-algebra,Math. Japonica 22, 61–65. · Zbl 0363.46054
[1356] Maeda, S. (1980),Lattice theory and quantum logic [in Japanese], Maki-Shoten, Tokyo. · Zbl 0446.70022
[1357] Maeda, S. (1981), On finite-modular atomistic lattices,Algebra Universalis 12, 76–80. · Zbl 0461.06007 · doi:10.1007/BF02483865
[1358] Maeda, S. (1984) see Thakare, N. K., M. P. Wasadikar, and S. Maeda (1984) On modular pairs in semilattices, Algebra Universalis 18, 255–265. · Zbl 0551.06006
[1359] Maeda, S. (1985), On distributive pairs in lattices,Acta Math. Hungar. 45, 133–140. · Zbl 0572.06007 · doi:10.1007/BF01955030
[1360] Maeda, S. (1985 a), Linear extension of probability measures on projections, Abstract of a lecture given at the Conference on Operator Algebras at Nakatsugawa, Gifu, Japan, November 1985.
[1361] Maeda, S. (1990), Probability measures on projections in von Neumann algebras,Rev. Math. Phys. 1, 235–290. · Zbl 0718.46046 · doi:10.1142/S0129055X89000122
[1362] Maeda, S., and S. S. Holland, Jr. (1976), Equivalence of projections in Baer*-rings,J. Algebra 39, 150–159. · Zbl 0325.16010 · doi:10.1016/0021-8693(76)90067-3
[1363] Maeda, S., N. K. Thakare, andM. P. Wasadikar (1985), On the ”del” relation in join-semilattices,Algebra Universalis 20, 229–242. · Zbl 0569.06004 · doi:10.1007/BF01278600
[1364] Majewski, M. (1978), On some matrix of the Birkoff and v. Neumann quantum logic,Bull. Polish Acad. Sci. Ins. Phil. Sociol. Bull. Sect. Logic 7, 133–136. · Zbl 0426.03067
[1365] Malhas, O. Q. (1987), Quantum logic and the classical propositional calculus,J. Symbolic Logic 52, 834–841. · Zbl 0646.03057 · doi:10.2307/2274369
[1366] Manasová, V. (1981), A note on mappings between the logics of quantum systems,Acta Polytechnica Práce ČVUT Praha IV 1981 (10), 23–26.
[1367] Manasová, V., andP. Pták (1981), On states on the product of logics,Int. J. Theor. Phys. 20, 451–456. · Zbl 0482.03030 · doi:10.1007/BF00671358
[1368] Manasová, V., andP. Pták (1981 a), On three questions of quantum system theories,Acta Polytechnica Práce ČVUT Praha IV 1981 (10), 27–39.
[1369] Maniá, A. (1974). · doi:10.1017/S0305004100048763
[1370] Maniá, A. (1981, 1981 a,1984,1985).
[1371] Marbeau, J., andS. Gudder (1989), A quantum random walk,Ann. Fond. L. de Broglie 14, 436–459.
[1372] Marbeau, J., andS. Gudder (1990), Analysis of a quantum Markov chain,Ann. Inst. Henri Poincaré A 52, 31–50. · Zbl 0698.60052
[1373] Marburg73.
[1374] Marburg79 see Neumann, H. (1981) Interpretation and foundations of quantum theory, Proceedings of a conference held in Marburg, 28–30 May 1979 [Marburg79], Bibliographisches Institut, Mannheim.
[1375] Marchand, J.-P. (1972, 1977).
[1376] Marchand, J.-P. (1977 a), Relative coarse-graining,Found. Phys. 7, 35–49. · doi:10.1007/BF00715240
[1377] Marchand, J.-P. (1978). · doi:10.1007/BF00708490
[1378] Marchand, J.-P. (1980).
[1379] Marić, Z. (1981) see Kron, A., Z. Marić, and S. Vujošević (1981).
[1380] Marino, G. (1984, 1986, 1988).
[1381] Marino, G. (1987).
[1382] Markechová, D. (1989), The entropy of fuzzy dynamical systems,Bull Sous-Ensembl. Flous Appl. 38, 38–41. · Zbl 0677.93033
[1383] Markechová, D. (1989 a), Isomorphism and conjugation of fuzzy dynamical systems,Bull. Sous-Ensembl. Flous Appl. 38, 94–101. · Zbl 0677.93033
[1384] Markechová, D. (1990), The entropy of F-quantum spaces,Math. Slovaca 40, 177–190. · Zbl 0735.28011
[1385] Markechová, D. (1990 a), On entropy and generatorsF-dynamical systems, inJán90, pp. 139–145. · Zbl 0735.28012
[1386] Marlow, A. R. (1974), Implications of a new axiom set for quantum logic, in Cohen, R. S., and M. W. Wartofsky (1974), pp. 350–360.
[1387] Marlow, A. R. (1978) (ed.),Mathematical foundations of quantum theory (Papers from a conference held at Loyola UniversityNew OrleansJune 2–4, 1977) [Loyola77], Academic Press, New York.
[1388] Marlow, A. R. (1978 a), Orthomodular structures and physical theory, inLoyola77, pp. 59–69.
[1389] Marlow, A. R. (1978 b), Quantum theory and Hilbert lattice,J. Math. Phys. 19, 1841–1846. · Zbl 0416.46057 · doi:10.1063/1.523924
[1390] Marlow, A. R. (1980), Empirical topology: Topologies from partially ordered sets,Int. J. Theor. Phys. 19, 515–521. · Zbl 0442.54030 · doi:10.1007/BF00671818
[1391] Marlow, A. R. (1980 a) (ed.),Quantum theory and gravitation (Proceedings of a symposium held at Loyola UniversityNew OrleansMay 23–26, 1979) [Loyola79], Academic Press, New York.
[1392] Marlow, A. R. (1980 b), An axiomatic general relativistic quantum theory, inLoyola79, pp. 35–69.
[1393] Marlow, A. R. (1980 c), An extended quantum mechanical embedding theorem, inLoyola79, pp. 71–77.
[1394] Marlow, A. (1981), Space time structure for quantum logic, inErice79, pp. 413–418.
[1395] Marlow, A. R. (1981 a), Quantum spacetime, inTutzing80. pp. 184–200.
[1396] Marsden, Jr., E. L. (1969), Irreducibility conditions on orthomodular lattices,Caribbean J. Sci. Math. 1, 27–39.
[1397] Marsden, Jr., E. L. (1970), The commutator and solvability in a generalized orthomodular lattice,Pacific J. Math. 33, 357–361. · Zbl 0234.06004
[1398] Marsden, Jr., E. L. (1973), A note on implicative models,Notre Dame J. Formal Logic 14, 139–144. · Zbl 0247.02027 · doi:10.1305/ndjfl/1093890823
[1399] Marsden, E. L. (1973 a), Distribution in orthomodular lattices,Notices Am. Math. Soc. 20, A-51.
[1400] Marsden, E. L. (1975). · Zbl 0305.02042 · doi:10.1305/ndjfl/1093891789
[1401] Martens, H., andW. M. de Muynck (1990), Nonideal quantum measurements,Found. Phys. 20, 255–281. · doi:10.1007/BF00731693
[1402] Martin, C. K. (1969). · Zbl 0175.28602 · doi:10.1017/S0017089500000549
[1403] Martinez, S. (1990), A search for the physical content of Lüders’ rule,Synthese 82, 97–125. · doi:10.1007/BF00413671
[1404] Matolcsi, T. (1975), Tensor product of Hilbert lattices and free orthodistributive product of orthomodular lattices,Acta Sci. Math. Szeged. 37, 263–272. · Zbl 0342.06005
[1405] Matveíčuk, M. S. (1980), Odna teorema o sostoianiah na kvantovyh logikah,Teor. Mat. Fiz. 45, 244–250.
[1406] Matveíčuk, M. S. (1988), Finite measures on quantum logics, inJán88, pp. 77–81.
[1407] Matveíčuk, M. S. (1990), The Gleason and Jordan theorems on hyperbolic quantum logics, inJán90, pp. 147–150.
[1408] Mayet, R. (1982), Une dualité pour les ensembles ordonnés orthocomplémentés,C. R. Acad. Sci. Paris 294, 63–65. · Zbl 0484.06002
[1409] Mayet, R. (1984).
[1410] Mayet, R. (1985), Varieties of orthomodular lattices related to states,Algebra Universalis 20, 368–396. · Zbl 0581.06006 · doi:10.1007/BF01195144
[1411] Mayet, R. (1986), Equational basis for some varieties of orthomodular lattices related to states,Algebra Universalis 23, 167–195. · Zbl 0618.06003 · doi:10.1007/BF01237719
[1412] Mayet, R. (1990). · Zbl 0715.06006 · doi:10.1007/BF01188994
[1413] Mayet, R. (1990 a), Orthosymmetric ortholattices,Proc. Am. Math. Soc. (to appear). · Zbl 0741.06006
[1414] Mayet, R., andM. Roddy (1987), n-Distributivity in ortholattices, inContribution to general algebra, Hölder-Pichler-Tempsky, Vienna, pp. 285–294.
[1415] Mayr, D. (1981), Comments on Putnam’s ’Quantum mechanics and the observer,’Erkenntnis 16, 221–225.
[1416] McCollum, G. (1975) see Finkelstein, D., and G. McCollum (1975).
[1417] McGrath, J. H. (1978), Only if quanta had logic, inPSA78, Vol. I, pp. 268–276.
[1418] McGrath, J. H. (1978 a), A formal statement of the Einstein-Podolsky-Rosen argument,Int. J. Theor. Phys. 17, 557–571. · Zbl 0398.03003 · doi:10.1007/BF00682560
[1419] McGrath, J. H. (1978 b), Review of Hooker’sThe logico-algebraic approach to quantum mechanics, Vol. I.Historical evolution, Philos. Sci. 45, 145–148.
[1420] McKinsey, J. C. C. (1954). · doi:10.2307/2267651
[1421] Mehra, J. (1970). · doi:10.1007/BF00671006
[1422] Mehra, J. (1973) (ed.),The physicist’s conception of nature (Proceedings of symposium held at Miramare, Trieste, Italy, September 18–25, 1972) [Trieste72], Reidel, Dordrecht.
[1423] Melsheimer, O. (1983), Quantum statistical mechanics as a construction of an embedding scheme,Found. Phys. 13, 745–758. · doi:10.1007/BF01889352
[1424] Merwe, van der, A. see van der Merwe, A.
[1425] Mesiar, R. (1990).
[1426] Meskov, V. S. (1972).
[1427] Meskov, V. S. (1986),Ocherki po logike kvantovoi mehaniki, Moscow University, Moscow.
[1428] Metelli, P. A. (1982).
[1429] Meyer, P. D. (1970), An orthomodular poset which does not admit a normed orthovaluation,Bull. Aust. Math. Soc. 3, 163–170. · Zbl 0212.31603 · doi:10.1017/S0004972700045822
[1430] Meyer, P. J. G. (1974), On the structure of orthomodular posets,Discrete Math. 9, 119–146. · Zbl 0318.06008 · doi:10.1016/0012-365X(74)90144-7
[1431] Meyer, R. K. (1985).
[1432] Michel, J. R. (1979, 1981).
[1433] Mielnik, B. (1968), Quantum logic and evolution,Ann. Jnst. Henri Poincaré A 9, 1–5. · Zbl 0167.27301
[1434] Mielnik, B. (1968 a), Geometry of quantum states,Commun. Math. Phys. 9, 55–80. · Zbl 0164.29501 · doi:10.1007/BF01654032
[1435] Mielnik, B. (1969), Theory of filters,Commun. Math. Phys. 15, 1–46. · Zbl 0182.59601 · doi:10.1007/BF01645423
[1436] Mielnik, B. (1974), Generalized quantum mechanics,Commun. Math. Phys. 37, 221–256; reprinted in Hooker, C. A. (1979a), pp. 115–152. · doi:10.1007/BF01646346
[1437] Mielnik, B. (1976), Quantum logic: Is it necessarily orthocomplemented?, in Flatoet al. (1976), pp. 117–135.
[1438] Mielnik, B. (1980), Mobility of nonlinear systems,J. Math. Phys. 21, 44–54. · Zbl 0451.58032 · doi:10.1063/1.524331
[1439] Mielnik, B. (1981 a), Motion and form, inErice79, pp. 465–477.
[1440] Mielnik, B. (1990), The paradox of two bottles in quantum mechanics,Found. Phys. 20, 745–755. · doi:10.1007/BF01889459
[1441] Mielnik, B., andG. Tengstrand (1980), Nelson-Brown motion: Some question marks,Int. J. Theor. Phys. 19, 239–250. · Zbl 0449.60044 · doi:10.1007/BF00670679
[1442] Miller, F. R. (1974) Weights on spaces, in Enz, C. P., and J. Mehra (eds.), Physical reality and mathematical description, Reidel, Dordrecht, Holland, pp. 169–192.
[1443] Minari, P. (1987), On the algebraic and the Kripkean logical consequence relation for orthomodular quantum logic,Rep. Math. Logic 21, 47–54. · Zbl 0655.03042
[1444] Mišik, L. (1988). · Zbl 0663.46060 · doi:10.1007/BF00669390
[1445] Misra, B. (1974), On a new definition of quantal states, in Enz. C. P., and J. Mehra (eds.),Physical reality and mathematical description, Reidel, Dordrecht, Holland, pp. 455–476.
[1446] Mitanni, S. (1987), Inferences of the logic of a complete orthomodular lattice,Bull. Univ. Osaka Prefect. A 36, 53–59. · Zbl 0647.03058
[1447] Mittelstaedt, P. (1959), Untersuchungen zur quantenlogik,Sitzungsber. Bayer. Akad. Wiss. 1959, 321–386
[1448] Mittelstaedt, P. (1960), Über die Gültigkeit der Logik in der Natur,Naturwissenschaften 47, 385–391. · doi:10.1007/BF00631246
[1449] Mittelstaedt, P. (1961), Quantenlogik,Fortschr. Phys. 9, 106–147. · Zbl 0207.29202 · doi:10.1002/prop.19610090203
[1450] Mittelstaedt, P. (1968), Verborgene Parameter und beobachtbare Grossen in physikalischen Theorien,Phil. Natur. 10, 468–482; reprinted in Mittelstaedt, P. (1972a), pp. 3350.
[1451] Mittelstaedt, P. (1970), Quantenlogische Interpretation orthokomplementärer quasimodularer Verbände,Z. Naturforsch. 25A, 1773–1778. · Zbl 0221.02010
[1452] Mittelstaedt, P. (1972), On the interpretation of the lattice of subspaces of the Hilbert space as a propositional calculus,Z. Naturforsch. 27A, 1358–1362.
[1453] Mittelstaedt, P. (972 a),Philosophische Probleme der modernen Physik, Bibliographisches Institut, Mannheim. · JFM 61.1384.24
[1454] Mittelstaedt, P. (1972 b),Die Sprache der Physik, Bibliographisches Institut, Mannheim. · JFM 60.1466.05
[1455] Mittelstaedt, P. (1976), Quantum logic, inPSA74, pp. 501–514; reprinted in Hooker, C. A. (1979a), pp. 153–166.
[1456] Mittelstaedt, P. (1976 a), On the applicability of the probability concept to quantum theory, inOntario73III, pp. 155–167. · Zbl 0323.02044
[1457] Mittelstaedt, P. (1976 b),Philosophical problems of modern physics [A translation of Mittelstaedt, P. (1972a)], Reidel, Dordrecht, Holland.
[1458] Mittelstaedt, P. (1977), Time dependent propositions and quantum logic,J. Philos. Logic 6, 463–472. · Zbl 0371.02027 · doi:10.1007/BF00262082
[1459] Mittelstaedt, P. (1978), The metalogic of quantum logic, inPSA78, Vol. 1, pp. 249–256.
[1460] Mittelstaedt, P. (1978 a),Quantum logic, Reidel, Dordrecht, Holland. · Zbl 0411.03059
[1461] Mittelstaedt, P. (1979), Quantum logic, inFermi77, pp. 264–299.
[1462] Mittelstaedt, P. (1979 a), The modal logic of quantum logic,J. Philos. Logic 8, 479–504. · Zbl 0418.03042 · doi:10.1007/BF00258445
[1463] Mittelstaedt, P. (1980), Die Meta-Logik der Quantenlogik, inCologne78, 59–71.
[1464] Mittelstaedt, P. (1981), Classification of different areas of work afferent to quantum logic, inErice79, pp. 3–16.
[1465] Mittelstaedt, P. (1981 a), The dialogic approach to modalities in the language of quantum physics, inErice79, pp. 259–281.
[1466] Mittelstaedt, P. (1981 b), The concepts of truth, possibility, and probability in the language of quantum mechanics, inMarburg79, pp. 71–94.
[1467] Mittelstaedt, P. (1983), Analysis of the EPR-experiment by relativistic quantum logic, inTokyo83, pp. 251–255.
[1468] Mittelstaedt, P. (1983 a), Relativistic quantum logic,Int. J. Theor. Phys. 22, 293–314. · Zbl 0515.03040 · doi:10.1007/BF02082895
[1469] Mittelstaedt, P. (1983 b), Naming and identity in quantum logic, inSalzburg83, pp. 138–142.
[1470] Mittelstaedt, P. (1983 c), Quantum logic and relativistic space-time, inTutzing82. pp. 54–81.
[1471] Mittelstaedt, P. (1985), Constituting, naming, and identity in quantum logic, inCologne84, pp. 215–234.
[1472] Mittelstaedt, P. (1985 a), EPR-paradox, quantum logic, and relativity, inJoensuu85, pp. 171–186.
[1473] Mittelstaedt, P. (1986), Empiricism and apriorism in the foundations of quantum logic,Synthese 67, 497–525. · doi:10.1007/BF00485945
[1474] Mittelstaedt, P. (1986 a), Quantum logical analysis of delayed-choice experiments, inTokyo86, pp. 53–58.
[1475] Mittelstaedt, P. (1987), Language and reality in quantum physics, inJoensuu87, pp. 229–250.
[1476] Mittelstaedt, P. (1989). · Zbl 0682.03038 · doi:10.1007/BF00669807
[1477] Mittelstaedt, P. (1990), The interrelation between language and reality in quantum mechanics,Nuovo Critica I–II (Nuova Serie), Quaderno 13–14 1990, 89–107.
[1478] Mittelstaedt, P., andJ. Pfarr (1980) (eds.),Gundlagen der Quantentheorie.Vorträge eines Kolloquiums über wissenschaftstheoretische Probleme der Quantentheorie, Köln, 4. bis 6. Oktober 1978 (Proceedings of a symposium held in Cologne, October 4–6, 1978) [Cologne78], Bibliographisches Institut, Mannheim.
[1479] Mittelstaedt, P., A. Prieur, and R. Schieder (1987), Unsharp joint measurement of complementary observables in a photon split beam experiment, inJoensuu87, pp. 403–418.
[1480] Mittelstaedt, P., andE.-W. Stacbow (1974), Operational foundation of quantum logic,Found. Phys. 4, 355–365. · doi:10.1007/BF00708541
[1481] Mittelstaedt, P., andE.-W. Stachow (1978), The principle of excluded middle in quantum logic,J. Philos. Logic 7, 181–208. · Zbl 0374.02015 · doi:10.1007/BF00245927
[1482] Mittelstaedt, P., andE.-W. Stachow (1983), Analysis of the Einstein-Podolsky-Rosen experiment by relativistic quantum logic,Int. J. Theor. Phys. 22, 517–540. · Zbl 0518.03030 · doi:10.1007/BF02106220
[1483] Mittelstaedt, P., andE.-W. Stachow (1985) (eds.),Recent developments in quantum logic (Proceedings of the international symposium on quantum logic, Cologne, Germany, June 13–16, 1984) [Cologne84], Bibliographisches Institut, Mannheim. · Zbl 0518.03030
[1484] Mizerski, J., A. Posiewnik, J. Pykacz, andM. Zukowski (1990) (eds.),Problems in quantum physics; Gdańsk’89, Recent and future experiments and interpretations (Proceedings of a symposium held in Gdańsk, Poland, September 18–23,1989) [Gdańsk89], World Scientific, Singapore.
[1485] Moldauer, P. A. (1976), Comment on separability and quantum logic,Epistemol. Lett. 14, 5.
[1486] Monk, J. D. (1969).
[1487] Morales, P. (1990), New results in non-commutative measure theory, inJán90, pp. 156–161. · Zbl 0755.46032
[1488] Moran, W. (1985). · Zbl 0575.46051 · doi:10.1017/S0305004100063313
[1489] Morash, R. P. (1971), The orthomodular identity and metric completeness of the coordinatizing division ring,Proc. Am. Math. Soc. 27, 446–448, Erratum,Ibid. 29, 267. · Zbl 0231.06013 · doi:10.1090/S0002-9939-1971-0272689-3
[1490] Morash, R. P. (1972), Orthomodularity and the direct sum of division subrings of the quaternions,Proc. Am. Math. Soc. 36, 63–68. · Zbl 0271.06007 · doi:10.1090/S0002-9939-1972-0312225-7
[1491] Morash, R. P. (1973), Angle bisection and orthoautomorphism in Hilbert lattices,Can. J. Math. 25, 261–272. · Zbl 0271.06008 · doi:10.4153/CJM-1973-026-2
[1492] Morash, R. P. (1974), Remarks on the classification problem for infinite-dimensional Hilbert lattices,Proc. Am. Math. Soc. 43, 42–46. · Zbl 0287.06006 · doi:10.1090/S0002-9939-1974-0404072-4
[1493] Morash, R. P. (1975), Orthomodularity and non-standard constructions,Glasnik Mat. 10, 231–239. · Zbl 0352.06009
[1494] Morash, R. P. (1976), The hyperoctant property in orthomodular AC-lattices,Proc. Am. Math. Soc. 57, 206–212. · Zbl 0342.06002 · doi:10.1090/S0002-9939-1976-0417006-5
[1495] Morgan, C. G. (1983), Probabilistic semantics for orthologic and quantum logic,Logique Analyse 26(103–104), 323–339. · Zbl 0591.03044
[1496] Moroz, B. Z. (1971), Formal systems that arise in the analysis of physical theories,Doklady Akad. Nauk SSSR 198, 1018–1020.
[1497] Moroz, B. Z. (1983), Reflection on quantum logic,Int. J. Theor. Phys. 22, 329–340. · Zbl 0515.03041 · doi:10.1007/BF02082898
[1498] Morrison, M. (1986), Quantum logic and the invariance argument–A reply to Bell and Hallett,Philos. Sci. 53, 403–411. · doi:10.1086/289325
[1499] Mortenson, C., andR. K. Meyer (1985), Relevant quantum arithmetic, inMathematical logic and formal systems (Lecture Notes in Pure and Applied Mathematics, Vol. 94), Dekker, New York, pp. 221–226.
[1500] Moscow86 see Logika kvantovoi mehaniki (1986).
[1501] Moscow87 see Rabinovich, V. L. (1987).
[1502] Motyka, Z. (1981). · Zbl 0487.60034 · doi:10.1007/BF00670861
[1503] Mugur-Schächter, M. (1974), The quantum mechanical Hilbert space formalism and the quantum mechanical probability space of the outcomes of measurements, inMarburg73, pp. 288–308.
[1504] Mugur-Schächter, M. (1980, 1981) see Hadjisawas, N., F. Thieffine, and M. Mugur-Schächter (1980, 1981).
[1505] Mugur-Schächter, M. (1981 a) see Thieffine, F., N. Hadjisawas, and M. Mugur-Schächter (1981).
[1506] Mugur-Schächter, M. (1983), Elucidation of the probabilistic structure of quantum mechanics and definition of a compatible joint probability,Found. Phys. 13, 419–465. · doi:10.1007/BF00730892
[1507] Mukherjee, M. K. (1977). · Zbl 0366.06015 · doi:10.1088/0305-4470/10/10/003
[1508] Mukherjee, M. K. (1979), A note on characterization of orthogonality and compatibility of elements of a quantum logic,Portugal. Math. 38, 107–112. · Zbl 0504.03027
[1509] Mukherjee, M. K. (1981), A note on completeness of bounded lattices postulated in some axiomatics of the mathematical foundations of quantum theory,Indian J. Pure Appl. Math. 12, 677–680. · Zbl 0469.06003
[1510] Mukherjee, M. K. (1984), A generalized characterization theorem for quantum logics,Lett. Nuovo Cimento 40, 453–456. · doi:10.1007/BF02748414
[1511] Müller, G. H., W. Lensky, andH.-D. Ebbinghaus (1987) (eds.), {\(\Omega\)}-bibliographyon mathematical logic. Vol. II.Nonclassical logic, Springer-Verlag, New York.
[1512] Müller, H. (1954), Mehrwertige Logik und Quantenphysik,Phys. Blätter 10, 151–157.
[1513] Mullikin, H. C. (1973). · Zbl 0267.28005 · doi:10.1063/1.1666301
[1514] Murray, F. J., andJ. von Neumann (1936), On rings of operators,Ann. Math. 37, 116–229; reprinted in von Neumann, J.,Collected works, Vol. III, Pergamon Press, Oxford (1961), pp. 6–119. · Zbl 0014.16101 · doi:10.2307/1968693
[1515] Murray, F. J., andJ. von Neumann (1937), On rings of operators, II,Trans. Am. Math. Soc. 41, 208–248. · Zbl 0017.36001 · doi:10.1090/S0002-9947-1937-1501899-4
[1516] Mushtari, D. Kh. (1989), Logics of projectors in Banach spaces [in Russian],Izv. Vyssh. Uchebn. Zaved. Mat. 1989(8), 44–52. · Zbl 0699.46047
[1517] Nagel, E. (1945), Book review:Philosophical foundations of quantum mechanics by H. Reichenbach, J. Philos.42, 437–444. · doi:10.2307/2019660
[1518] Nagel, E. (1946), Professor Reichenbach on quantum mechanics: A rejoinder,J. Philos. 43, 247–250. · doi:10.2307/2019125
[1519] Nakamura, M. (1957), The permutability in a certain orthocomplemented lattice,Kodai Math. Sem. Rep. 9, 158–160. · Zbl 0079.25803 · doi:10.2996/kmj/1138843933
[1520] Nakano, H., andS. Homberger (1971), Cluster lattices,Bull. Acad. Polon. Sci. Sci. Math. Astr. Phys. 19, 5–7. · Zbl 0212.03702
[1521] Nánásiová, O. (1986), Conditional probability on a quantum logic,Int. J. Theor. Phys. 25, 1155–1162. · Zbl 0626.03053 · doi:10.1007/BF00668686
[1522] Nánásiová, O. (1987), Ordering of observables and characterization of conditional expectations,Math. Slovaca 37, 323–340. · Zbl 0642.03037
[1523] Nánásiová, O., andS. Pulmannová (1985), Relative conditional expectations on a logic,Aplikace Matematiky 30, 332–350. · Zbl 0585.60003
[1524] Naroditsky, V. (1981).
[1525] Nash, C. G., andG. C. Joshi (1987), Component states of a composite quaternion system,J. Math. Phys. 28, 2886–2890. · Zbl 0649.46066 · doi:10.1063/1.527689
[1526] Nasr, A. H. (1982), Observables measured simultaneously with the potential,J. Math. Phys. 23, 2387–2388. · doi:10.1063/1.525332
[1527] Navara, M. (1984), Two-valued states on a concrete logic and the additivity problem,Math. Slovaca 34, 329–336. · Zbl 0597.28004
[1528] Navara, M. (1984 a), The integral on{\(\sigma\)}-classes is monotonic,Rep. Math. Phys. 20, 417–421. · Zbl 0581.60097 · doi:10.1016/0034-4877(84)90049-1
[1529] Navara, M. (1985). · Zbl 0585.03038 · doi:10.1093/qmath/36.3.261
[1530] Navara, M. (1987). · doi:10.1090/S0002-9939-1987-0894439-1
[1531] Navara, M. (1987 a), State space properties of finite logics,Czechoslovak Math. J. 37, 188–196. · Zbl 0647.03057
[1532] Navara, M. (1988), A note on the axioms of quantum mechanics,Acta Polytechnica Práce CVUT Praha IV 15(2), 5–8.
[1533] Navara, M. (1988 a), When is the integration on quantum probability spaces additive?,Real analysis Exchange 14, 228–234 (1988–1989). · Zbl 0734.28015
[1534] Navara, M. (1988 b) see Rogalewicz, V., and M. Navara (1988).
[1535] Navara, M. (1989), Integration on generalized measure spaces,Acta Univ. Carolin. Math. Phys. 30(2), 121–124. · Zbl 0721.28010
[1536] Navara, M. (1990) see Godowski, R., and M. Navara (1990).
[1537] Navara, M. (1990 a), Quantum logics with given automorphism groups, centres, and state spaces, inJán90, pp. 163–168. · Zbl 0739.03036
[1538] Navara, M., andP. Pták (1983), Two-valued measures on{\(\sigma\)}-classes,Casopis Pest. Mat. 108, 225–229. · Zbl 0526.28001
[1539] Navara, M., andP. Pták (1983 a), On the Radon-Nikodym property for{\(\sigma\)}-classes,J. Math. Phys. 24, 1450. · Zbl 0513.60004 · doi:10.1063/1.525880
[1540] Navara, M., andP. Pták (1988), Quantum logics with Radon-Nikodym property,Order 4, 387–395. · Zbl 0643.03043 · doi:10.1007/BF00714479
[1541] Navara, M., and P. Pták (1988 a), Enlargements of logics ({\(\sigma\)}-orthocomplete case), inProceedings of the conference: Topology and Measure V (Binz, Germany, 1987), Wissenschaftliche Beitrage der Ernst-Moritz-Arndt Universität Greifswald (1988), pp. 109–115.
[1542] Navara, M., andP. Pták (1989), Almost Boolean orthomodular posets,J. Pure Appl. Algebra 60, 105–111. · Zbl 0691.03045 · doi:10.1016/0022-4049(89)90108-4
[1543] Navara, M., P. Pták, andV. Rogalewicz (1988), Enlargements of quantum logics,Pacific J. Math. 135, 361–369. · Zbl 0617.06006
[1544] Navara, M., andV. Rogalewicz (1988), Construction of orthomodular lattices with given state spaces,Demonstratio Math. 21, 481–493. · Zbl 0665.03045
[1545] Navara, M., and V. Rogalewicz (1988 a), State isomorphism of orthomodular posets and hypergraphs, inJán88, pp. 93–98. · Zbl 0691.03046
[1546] Navara, M., andV. Rogalewicz (1991), The pasting constructions for orthomodular posets,Math. Nachr. 154, 157–168. · Zbl 0767.06009 · doi:10.1002/mana.19911540113
[1547] Navara, M., andG. T. Rüttimann (1991), A characterization of{\(\sigma\)}-state spaces of orthomodular lattices,Expositiones Mathematicae 9, 275–284. · Zbl 0742.03027
[1548] Neubrunn, T. (1970), A note on quantum probability spaces,Proc. Am. Math. Soc. 25, 672–675. · Zbl 0208.43402 · doi:10.1090/S0002-9939-1970-0259056-2
[1549] Neubrunn, T. (1973) see Katrinak, T., and T. Neubrunn (1973).
[1550] Neubrunn, T. (1974), On certain type of generalized random variables,Acta Math. Univ. Comenian. 29, 1–6. · Zbl 0294.60008
[1551] Neubrunn, T. (1988), Generalized continuity and measurability, inJán88, pp. 99–101. · Zbl 0681.28005
[1552] Neubrunn, T. (1990, 1990a). · doi:10.1007/BF00731854
[1553] Neubrunn, T., andS. Pulmannová (1983), On compatibility in quantum logics,Acta Math. Univ. Comenian. 42–43, 153–168.
[1554] Neumann, H. (1971), Coexistent effects and observables. Seminar notes, inFermi70, pp. 407–411.
[1555] Neumann, H. (1974), A new physical characterisation of classical systems in quantum mechanics,Int. J. Theor. Phys. 9, 225–228. · doi:10.1007/BF01810694
[1556] Neumann, H. (1974 a), The representation of classical systems in quantum mechanics, inMarburg73, pp. 316–321.
[1557] Neumann, H. (1974 b), The structure of ordered Banach spaces in axiomatic quantum mechanics, inMarburg73, pp. 161–121.
[1558] Neumann, H. (1978), A mathematical model for a set of microsystems,Int. J. Theor. Phys. 17, 219–226. · Zbl 0401.46010 · doi:10.1007/BF00680373
[1559] Neumann, H, (1980), Zur Verdeutlichung der statistischen Interpretation der Quantenmechanik durch ein matematisches Modell für eine Menge von Mikrosystemen, inCologne78, pp. 23–27.
[1560] Neumann, H. (1981) (eds.),Interpretation and foundations of quantum theory, Proceedings of a conference held inMarburg, 28–30 May 1979 [Marburg79], Bibliographisches Institut, Mannheim.
[1561] Neumann, H. (1981 a) see Ludwig, G., and H. Neumann (1981).
[1562] Neumann, H. (1981 b) see Gerstberger, H., H. Neumann, and R. Werner (1981).
[1563] Neumann, H. (1983), The description of preparation and registration of physical systems and conventional probability theory,Found. Phys. 13, 761–778. · doi:10.1007/BF01906269
[1564] Neumann, H. (1985), The size of sets of physically possible states and effects, inCologne84, pp. 337–348.
[1565] Neumann, H. (1985 a), Which ideas on the action of microsystems in EPR-experiments are compatible with quantum theory?, inJoensuu85, pp. 497–509.
[1566] Neumann, H. (1989). · doi:10.1007/BF01883152
[1567] Neumann, H., andR. Werner (1983), Causality between preparation and registration processes in relativistic quantum theory,Int. J. Theor. Phys. 22, 781–802. · Zbl 0528.46060 · doi:10.1007/BF02114662
[1568] Neumann, von, J.. · Zbl 0023.13303 · doi:10.2307/1968823
[1569] Newberger, S. M. (1973).
[1570] Nicholson, G. E., A. Grubb, andC. S. Sharma (1984), Regular join endomorphisms on a complemented modular lattice of finite rank,Discrete Math. 52, 235–242. · Zbl 0548.06004 · doi:10.1016/0012-365X(84)90084-0
[1571] Nieminen, J. (1983). · Zbl 0514.06003 · doi:10.1007/BF01191789
[1572] Nikodým, O. M. (1969), Studies of some items of the lattice theory in relation to the Hilbert-Hermite space,Rend. Sem. Math. Univ. Padova 42, 27–122. · Zbl 0244.46006
[1573] Nilson, D. R. (19773), Hans Reichenbach on the logic of quantum mechanics,Synthese 34, 313–360. · Zbl 0398.03002 · doi:10.1007/BF00485881
[1574] Nishimura, H. (1980), Sequential method in quantum logic,J. Symbolic Logic 45, 339–352. · Zbl 0437.03034 · doi:10.2307/2273194
[1575] Nisticò, G. (1984, 1985, 1986, 1986a, 1987).
[1576] Nisticò, G. (1988). · Zbl 0661.03051 · doi:10.1007/BF00671312
[1577] Nisticò, G. (1989). · doi:10.4006/1.3035866
[1578] Nisticò, G. (1989 a,1990). · Zbl 0682.03036 · doi:10.1016/0165-0114(89)90239-X
[1579] Nitsch, J., J. Pfarr, andE.-W. Stachow (1981) (eds.),Grundlagenprobleme der modernen Physik. Festschrift für Peter Mittelstaedt zum 50. Geburtstag, Bibliographisches Institut, Mannheim.
[1580] Nordgren, F. A. (1983), The lattice of operator ranges of a von Neumann algebra,Indiana Univ. Math. J. 32, 63–68. · Zbl 0532.47026 · doi:10.1512/iumj.1983.32.32005
[1581] Novati, E. (1974). · doi:10.1007/BF01811039
[1582] {\(\Omega\)}-bibliography87 see Müller, G. H.,et al. (1987) {\(\Omega\)}-bibliography on mathematical logic. Vol. II. Nonclassical logic, Springer-Verlag, New York.
[1583] Ochs, W. (1972), On Gudder’s hidden variable theorems,Nuovo Cimento 10B, 172–184.
[1584] Ochs, W. (1972 a), On the covering law in quantal proposition systems,Commun. Math. Phys. 25, 245–252. · Zbl 0229.02028 · doi:10.1007/BF01877592
[1585] Ochs, W. (1972 b), On the foundation of quantal proposition system,Z. Naturforsch. 27A, 893–900.
[1586] Ochs, W. (1977), On the strong law of large numbers in quantum probability theory,J. Philos. Logic 6, 473–480. · Zbl 0374.60040 · doi:10.1007/BF00262083
[1587] Ochs, W. (1979), When does a projective system of state operators have a projective limit?,J. Math. Phys. 20, 1842–1847. · Zbl 0475.46049 · doi:10.1063/1.524300
[1588] Ochs, W. (1980), Concepts of convergence for a quantum law of large numbers,Rep. Math. Phys. 17, 127–143. · Zbl 0468.60005 · doi:10.1016/0034-4877(80)90081-6
[1589] Ochs, W. (1980 a), Gesetze der grossen Zahlen zur Auswertung quantenmechanischer Messreihen, inCologne78, pp. 127–138.
[1590] Ochs, W. (1981), Some comments on the concepts of state in quantum mechanics,Erkenntnis 16, 339–356. · doi:10.1007/BF00211375
[1591] Ochs, W. (1981 a), The set of all projective limits of a projective system of state operators,J. Math. Phys. 22, 284–289. · Zbl 0467.46055 · doi:10.1063/1.524902
[1592] Ochs, W. (1985), Gleason measures and quantum comparative probability, in Accardi, L., and W. von Waldenfels (eds.),Quantum probability and applications II (Proceedings of a workshop held in Heidelberg, West Germany, October 1–5,1984), Springer-Verlag, Berlin, pp. 388–396.
[1593] Olubummo, Y., andT. A. Cook (1990), Operational logic and the Hahn-Jordan property,Found. Phys. 20, 905–913. · doi:10.1007/BF01889697
[1594] Omnès, R. (1987), Un calcul de propositions en méchanique quantique,C. R. Acad. Sci. Paris II 304, 1039–1042. · Zbl 0612.46071
[1595] Omnès, R. (1987 a), Interpretation of quantum mechanics,Phys. Lett. 125A, 169–172. · Zbl 0979.81021
[1596] Omnès, R. (1988), Logical reformulation of quantum mechanics. I. Foundations,J. Stat. Phys. 53, 893–932. · Zbl 0677.03042 · doi:10.1007/BF01014230
[1597] Omnès, R. (1988 a), Logical reformulation of quantum mechanics. II. Interferences and the Einstein-Podolsky-Rosen experiment,J. Stat. Phys. 53, 933–955. · doi:10.1007/BF01014231
[1598] Omnès, R. (1988 b), Logical reformulation of quantum mechanics. III. Classical limit and reversibility,J. Stat. Phys. 53, 957–975. · doi:10.1007/BF01014232
[1599] Omnès, R. (1989), Logical reformulation of quantum mechanics. IV. Projectors in semi-classical physics,J. Stat. Phys. 57, 357–382. · doi:10.1007/BF01023649
[1600] Omnès, R. (1989 a), The Einstein-Podolsky-Rosen problem: A new solution,Phys. Lett. 138A, 157–159.
[1601] Omnès, R. (1990), From Hilbert space to common sense: A synthesis of recent progress in the interpretation of quantum mechanics,Ann. Phys. (NY)201, 354–447. · doi:10.1016/0003-4916(90)90045-P
[1602] Omnès, R. (1990 a), Some progress in measurement theory: The logical interpretation of quantum mechanics, in Zurek, H. (ed.),Complexity, entropy, and the physics of information (The 1988 Workshop on Complexity, Entropy, and the Physics of Information, held in Santa Fe, New Mexico, May–June, 1988), Addison-Wesley, Reading, Massachusetts, pp. 495–512.
[1603] Omnès, R. (1990 b), A consistent interpretation of quantum mechanics, in Cini, M., and J. M. Levy-Leblond (eds.),Quantum theory without reduction (Proceedings of a colloquium held in Rome, Italy, April 1989), Adam Hilger, Bristol, pp. 27–48.
[1604] Ontario71.
[1605] Ontario73I–III see Harper, W. L., and Hooker, C. A. (1976).
[1606] Ontario75.
[1607] Ozawa, M. (1983), Boolean valued interpretation of Hilbert space theory,J. Math. Soc. Japan 35, 609–627. · Zbl 0526.46069 · doi:10.2969/jmsj/03540609
[1608] Palko, V. (1985), On the convergence and absolute continuity of signed states on a logic,Math. Slovaca 35, 267–275. · Zbl 0585.03037
[1609] Palko, V. (1987).
[1610] Palko, V. (1989), Topologies on quantum logics induced by measures,Math. Slovaca 39, 175–189. · Zbl 0674.03021
[1611] Palková, V. (1987) see Dravecky, J., V. Palko, and V. Palková (1987).
[1612] Paty, M. (1977).
[1613] Pauli, W. (1964), Reviewing study of Hans Reichenbach’sPhilosophical foundations of quantum mechanics, in Kronig, R., and V. F. Weisskopf (eds.),Collected scientific papers, Vol. 2, Interscience, New York.
[1614] Pavicić, M. (1983), The other way round: Quantum logic as metalogic, in Weingartner, P., and J. Czermak (eds.),Epistemology and philosophy of science (Proceedings of the 7th International Wittgenstein symposium, Kirchberg am Wechsel, Austria, August 22–29, 1982), Reidel/Hölder-Pichler-Tempsky, Dordrecht, Holland/Vienna, pp. 402–407.
[1615] Pavicić, M. (1987), Probabilistic semantics for quantum logic, inMoscow87, Vol. 2, pp. 105–107.
[1616] Pavicić, M. (1987 a), Minimal quantum logic with merged implications,Int. J. Theor. Phys. 26, 845–952. · Zbl 0642.03036 · doi:10.1007/BF00669413
[1617] Pavicić, M. (1989), Unified quantum logic,Found. Phys. 19, 999–1016. · doi:10.1007/BF01883153
[1618] Pavicić, M. (1990), A relative frequency criterion for the repeatability of quantum measurements,Nuovo Cimento 105B, 1103–1112; Errata,Ibid. 106B, 105–106.
[1619] Pavicić, M. (1990 a), A theory of deduction for quantum mechanics,Nuova Critica I–II (Nuova Serie), Quaderno 13–141990, 109–129.
[1620] Pavicić, M. (1990 b), There is a formal difference between the Copenhagen and the statistical interpretation of quantum mechanics, inGdańsk89. pp. 440–452.
[1621] Pearle, P. (1984), Comment on ”Quantum measurements and stochastic processes,”Phys. Rev. Lett. 53, 1775. · doi:10.1103/PhysRevLett.53.1775
[1622] Pearson, D. B. (1981). · doi:10.1007/BF00726950
[1623] Peruzzi, G. (1990), Logical anomalies of quantum objects. A survey,Found. Phys. 20, 337–352. · doi:10.1007/BF00731696
[1624] Petersen, A. (1972, 1972 a). · doi:10.1007/BF01258726
[1625] Piasecki, K. (1985), Probability of fuzzy events defined as denumerable additivity measure,Fuzzy Sets Syst. 17, 271–284. · Zbl 0604.60005 · doi:10.1016/0165-0114(85)90093-4
[1626] Piron, C. (1961), Structure de treillis de certaines observables quantiques,Helv. Phys. Acta 34, 503–505.
[1627] Piron, C. (1961 a).
[1628] Piron, C. (1963). · Zbl 0113.21105 · doi:10.1063/1.1703978
[1629] Piron, C. (1963 a).
[1630] Piron, C. (1964), Axiomatique quantique,Helv. Phys. Acta 37, 439–468. · Zbl 0141.23204
[1631] Piron, C. (1969, 1970).
[1632] Piron, C. (1971), Observables in general quantum theory, inFermi70, pp. 274–286.
[1633] Piron, C. (1971 a). · Zbl 0281.06005 · doi:10.1063/1.1665777
[1634] Piron, C. (1972), Survey of general quantum physics,Found. Phys. 2, 287–314; reprinted in Hooker, C. A. (1975), pp. 513–543. · doi:10.1007/BF00708413
[1635] Piron, C. (1976), On the foundations of quantum physics, in Flatoet al. (1976), pp. 105–116. · Zbl 0333.46050
[1636] Piron, C. (1976 a),Foundations of quantum physics, Benjamin, Reading, Massachusetts. · Zbl 0333.46050
[1637] Piron, C. (1977), On the logic of quantum logic,J. Philos. Logic 6, 481–484. · Zbl 0373.02029 · doi:10.1007/BF00262084
[1638] Piron, C. (1977 a), A first lecture on quantum mechanics, inStrasbourg74, pp. 69–87.
[1639] Piron, C. (1978), The Lorentz particles: A new model for the 1/2-spin particle, inLoyola77, pp. 49–58.
[1640] Piron, C. (1979), Galilean and Lorentz particles: A new approach of quantization, inFermi77, pp. 300–307. · Zbl 0446.70004
[1641] Piron, C. (1981), Ideal measurements and probability in quantum mechanics,Erkenntnis 16, 397–401. · doi:10.1007/BF00211379
[1642] Piron, C. (1981 a), A unified concept of evolution in quantum mechanics, inMarburg79, pp. 109–112.
[1643] Piron, C. (1982), Paradoxes et méchanique quantique,Ann. Fond. L. de Broglie 7, 265–274.
[1644] Piron, C. (1983). · doi:10.1007/BF01906271
[1645] Piron, C. (1983 a), New quantum mechanics, in van der Merwe (1983), pp. 345–361.
[1646] Piron, C. (1985), New formalism for new theory, inCologne84, pp. 111–113.
[1647] Piron, C. (1989), Recent developments in quantum mechanics,Helv. Phys. Acta 62, 82–90.
[1648] Piron, C. (1989 a), New dialogue on a new science between F. Salviati, G. Sagredo, and Simplicio,Found. Phys. 19, 1017–1025. · doi:10.1007/BF01883154
[1649] Pitowsky, I. (1982), Substitution and truth in quantum logic,Philos. Sci. 49, 380–401. · doi:10.1086/289067
[1650] Pitowsky, I. (1983), Deterministic model of spin and statistics,Phys. Rev. D 27, 2316–2326. · doi:10.1103/PhysRevD.27.2316
[1651] Pitowsky, I. (1986), The range of quantum probability,J. Math. Phys. 27, 1556–1565. · doi:10.1063/1.527066
[1652] Pitowsky, I. (1989),Quantum Probability–Quantum logic (Lecture Notes in Physics, No. 321), Springer-Verlag, New York. · Zbl 0668.60096
[1653] Piziak, R. (1970), Involving rings and projections. I,J. Nat. Sci. Math. 10, 215–227. · Zbl 0228.06002
[1654] Piziak, R. (1971), Mackey closure operators,J. Lond. Math. Soc. 4, 33–38. · Zbl 0253.06001 · doi:10.1112/jlms/s2-4.1.33
[1655] Piziak, R. (1972), Sesquilinear forms in infinite dimensions,Pacific J. Math. 43, 475–481. · Zbl 0237.46007
[1656] Piziak, R. (1973), Orthomodular posets from sesquilinear forms,J. Aust. Math. Soc. 15, 265–269. · Zbl 0271.15013 · doi:10.1017/S1446788700013161
[1657] Piziak, R. (1974), Orthomodular lattices as implication algebras,J. Philos. Logic 3, 413–438. · Zbl 0294.06006 · doi:10.1007/BF00257483
[1658] Piziak, R. (1974 a), Symplectic orthogonality spaces,J. Combin. Theory A 16, 87–96. · Zbl 0276.50009 · doi:10.1016/0097-3165(74)90074-0
[1659] Piziak, R. (1974 b),.
[1660] Piziak, R. (1975),.
[1661] Piziak, R. (1978), Orthomodular lattices and quantum physics,Math. Mag. 51, 299–303. · Zbl 0416.06012 · doi:10.2307/2690252
[1662] Piziak, R. (1990), Lattice theory, quadratic spaces, and quantum proposition systems,Found. Phys. 20, 651–665. · doi:10.1007/BF01889453
[1663] Plymen, R. J. (1968), A modification of Piron’s axioms,Helv. Phys. Acta 41, 69–74.
[1664] Plymen, R. J. (1968 a),C *-algebras and Mackey’s axioms,Commun. Math. Phys. 8, 132–146. · Zbl 0155.45902 · doi:10.1007/BF01645801
[1665] Poguntke, W. (1975),. · Zbl 0313.06002 · doi:10.1007/BF02485233
[1666] Poguntke, W. (1980), Finitely generated ortholattices: The commutator and some applications, inBolyai33, pp. 651–655.
[1667] Poguntke, W. (1981), On finitely generated simple complemented lattices,Can. Math. Bull. 24, 69–72. · Zbl 0454.06004 · doi:10.4153/CMB-1981-010-8
[1668] Pool, J. C. T. (1968), Baer*-semigroups and the logic of quantum mechanics,Commun. Math. Phys. 9, 118–141; reprinted in Hooker, C. A. (1975), pp. 365–394. · Zbl 0159.59602 · doi:10.1007/BF01645838
[1669] Pool, J. C. T. (1968 a), Semimodularity and the logic of quantum mechanics,Commun. Math. Phys. 9, 212–228; reprinted in Hooker, C. A. (1975), pp. 395–414. · Zbl 0165.28902 · doi:10.1007/BF01645687
[1670] Popper, K. R. (1968), Birkhoff and von Neumann’s interpretation of quantum mechanics,Nature 219, 682–695. · doi:10.1038/219682a0
[1671] Popper, K. R. (1969), Quantum theory, quantum logic, and the calculus of probability, inAkten des XIV internationalen Kogresses für Philosophy, Vol. 3, Herder, Vienna.
[1672] Posiewnik, A. (1985), On some definition of physical state,Int. J. Theor. Phys. 24, 135–140. · Zbl 0566.03019 · doi:10.1007/BF00672648
[1673] Posiewnik, A. (1985 a), Category theoretical construction of the figure of states,Int. J. Theor. Phys. 24, 193–200. · Zbl 0574.46055 · doi:10.1007/BF00672653
[1674] Posiewnik, A. (1986), Dynamical transformations and information systems,Int. J. Theor. Phys. 25, 891–896. · doi:10.1007/BF00669924
[1675] Posiewnik, A. (1987), Hilbert space representation of time evolution of pure states,Int. J. Theor. Phys. 26, 429–434. · Zbl 0642.22006 · doi:10.1007/BF00668775
[1676] Posiewnik, A. (1987 a), Physical experiment and computation,Int. J. Theor. Phys. 26, 239–245. · doi:10.1007/BF00668913
[1677] Posiewnik, A. (1988), Computability of physical operations,Int. J. Theor. Phys. 27, 83–88. · Zbl 0646.03036 · doi:10.1007/BF00672050
[1678] Posiewnik, A., andJ. Pykacz (1986), Constructive description of the compact set of states,Int. J. Theor. Phys. 25, 239–246. · Zbl 0625.03041 · doi:10.1007/BF00668706
[1679] Post, E. J. (1974), Comments on ’The formal representation of physical quantities’, in Cohen, R. S., and M. W. Wartofsky (1974), pp. 210–213.
[1680] Prieur, A. (1987) See Mittelstaedt, P., A. Prieur, and R. Schieder (1987).
[1681] Primas, H. (1977), Theory reduction and non-Boolean theories,J. Math. Biol. 4, 281–301. · Zbl 0357.92006 · doi:10.1007/BF00280978
[1682] Prugovečki, E. (1966), An axiomatic approach to the formalism of quantum mechanics. I,J. Math. Phys. 7, 1054–1069. · Zbl 0161.46002 · doi:10.1063/1.1704999
[1683] Prugovečki, E. (1966 a), An axiomatic approach to the formalism of quantum mechanics. II,J. Math. Phys. 7, 1070–1096. · Zbl 0161.46002 · doi:10.1063/1.1705000
[1684] Prugovečki, E. (1966 b), A formalism for generalized quantum mechanics,J. Math. Phys. 7, 1680–1696. · Zbl 0173.53804 · doi:10.1063/1.1705081
[1685] Prugovečki, E. (1967), On a theory of measurement of incompatible observables in quantum mechanics,Can. J. Phys. 45, 2173–2219. · Zbl 0156.23303
[1686] Przelecki, M., K. Szaniawski, andR. Wójcicki (1977) (eds.),Formal methods in the methodology of empirical sciences (Proceedings of a conference held in Warsaw, Poland, June 17–21, 1974) [Warsaw74], Reidel/Osolineum, Dordrecht, Holland/Wrocław.
[1687] PSA74 see Cohen, R. S.,et al. (1976).
[1688] PSA76 see Suppe, F., and P. D. Asquith (1977).
[1689] PSA78 see Asquith, P. D., and I. Hacking (1978).
[1690] PSA80 see Asquith, P. D., and R. N. Giere (1980).
[1691] Pták, P. (1981, 1981 a) see Maňasová, V., and P. Pták (1981, 1981a).
[1692] Pták, P. (1981 b), Realcompactness and the notion of observable,J. Lond. Math. Soc. 23, 534–536. · Zbl 0454.54017 · doi:10.1112/jlms/s2-23.3.534
[1693] Pták, P. (1982),. · doi:10.1007/BF00736849
[1694] Pták, P. (1982 a), Konkrétni logika kvantnového systému,Acta Polytechnica Práce ČVUT Praha III 1982(4), 65–67.
[1695] Pták, P. (1983), Logics with given centers and state spaces,Proc. Am. Math. Soc. 88, 106–109. · Zbl 0514.03043
[1696] Pták, P. (1983 a), Weak dispersion-free states and the hidden variables hypothesis,J. Math. Phys. 24, 839–840. · Zbl 0508.60006 · doi:10.1063/1.525758
[1697] Pták, P. (1983 b,1983 c),.
[1698] Pták, P. (1984), On centers and state spaces of logics,Suppl. Rend. Circ. Mat. Palermo II 3, 225–229. · Zbl 0544.03034
[1699] Pták, P. (1984 a), Spaces of observables,Czechoslovak Math. J. 34, 552–561. · Zbl 0572.28007
[1700] Pták, P. (1985), Extension of states on logics,Bull. Polish Acad. Sci. Math. 33, 493–497. · Zbl 0589.03040
[1701] Pták, P. (1985 a),. · Zbl 0585.03038 · doi:10.1093/qmath/36.3.261
[1702] Pták, P. (1985 b), Categories of orthomodular posets,Math. Slovaca 35, 59–65. · Zbl 0583.06005
[1703] Pták, P. (1986), A note on Jauch-Piron states,Rep. Math. Phys. 23, 155–159. · Zbl 0625.03042 · doi:10.1016/0034-4877(86)90017-0
[1704] Pták, P. (1986 a), Summing of Boolean algebras and logics,Demonstratio Math. 19, 349–357. · Zbl 0647.03055
[1705] Pták, P. (1987), ”Hidden variables” on concrete logics (extensions),Comment. Math. Univ. Carolin. 28, 157–163. · Zbl 0618.06005
[1706] Pták, P. (1987 a), Exotic logics,Colloq. Math. 54, 1–7. · Zbl 0639.03063
[1707] Pták, P. (1987 b),. · Zbl 0601.46027 · doi:10.1112/blms/19.3.259
[1708] Pták, P. (1987 c), An observation on observables,Acta Polytechnica Práce ČVUT Praha IV 1987(10), 81–86.
[1709] Pták, P. (1988),.
[1710] Pták, P. (1988 a), FATAT (in the state space of quantum logics), inJán88, pp. 113–118
[1711] Pták, P. (1988 b,1988 c,1989),.
[1712] Pták, P. (1990),.
[1713] Pták, P., andS. Pulmannová (1989),Kvantové logiky, Veda, Vydatel’stvo Slovenskej Akadémie Vied, Bratislava, Czechoslovakia.
[1714] Pták, P., andS. Pulmannová (1991), Orthomodular structures as quantum logics, Kluwer/Veda, Dordrecht, Holland/Bratislava. · Zbl 0743.03039
[1715] Pták, P., andV. Rogalewicz (1983), Regularly full logics and the unique problem for observables,Ann. Inst. Henri Poincaré A 38, 69–74. · Zbl 0519.03051
[1716] Pták, P., andV. Rogalewicz (1983 a), Measures on orthomodular partially ordered sets,J. Pure Appl Algebra 28, 75–80. · Zbl 0507.06008 · doi:10.1016/0022-4049(83)90074-9
[1717] Pták, P., andJ. Tkadlec (1988), A note on determinacy of measures,Casopis Pest. Mat. 113, 435–436. · Zbl 0659.28001
[1718] Pták, P., andJ. D. M. Wright (1985), On the concreteness of quantum logics,Aplikace Matematiky 30, 274–285. · Zbl 0586.03050
[1719] Pulmannová, S. (1975), Note on the structure of quantal proposition systems,Acta Phys. Slovaca 25, 234–240.
[1720] Pulmannová, S. (1976), A superposition principle in quantum logics,Commun. Math. Phys. 49, 47–51. · doi:10.1007/BF01608635
[1721] Pulmannová, S. (1977), Symmetries in quantum logics,Int. J. Theor. Phys. 16, 681–688. · Zbl 0388.06007 · doi:10.1007/BF01812226
[1722] Pulmannová, S. (1978), A remark on the comparison of Mackey and Segal models,Math. Slovaca 28, 297–304. · Zbl 0426.60098
[1723] Pulmannová, S. (1978 a), Joint distributions of observables on quantum logics,Int. J. Theor. Phys. 17, 665–675. · Zbl 0417.06007 · doi:10.1007/BF00669972
[1724] Pulmannová, S. (1979), Superposition principle and sectors in quantum logics,Int. J. Theor. Phys. 18, 915–922. · Zbl 0491.03022 · doi:10.1007/BF00669567
[1725] Pulmannová, S. (1980), Relative compatibility and joint distribution of observables,Found. Phys. 10, 641–653. · doi:10.1007/BF00715045
[1726] Pulmannová, S. (1980 a),.
[1727] Pulmannová, S. (1980 b), Semiobservables on quantum logic,Math. Slovaca 30, 419–432. · Zbl 0454.03031
[1728] Pulmannová, S. (1980 c), Superposition of states and a representation theorem,Ann. Inst. Henri Poincaré A 32, 351–360.
[1729] Pulmannová, S. (1981), On the observables on quantum logic,Found. Phys. 11, 127–136. · doi:10.1007/BF00715201
[1730] Pulmannová, S. (1981 a), Compatibility and partial compatibility in quantum logics,Ann. Inst. Henri Poincaré A 34, 391–403.
[1731] Pulmannová, S. (1981 b), A note on the extensibility of states,Math. Slovaca 31, 177–181. · Zbl 0469.03044
[1732] Pulmannová, S. (1981 c,1982),.
[1733] Pulmannová, S. (1982 a), Individual ergodic theorem on a logic,Math. Slovaca 32, 413–416. · Zbl 0503.28005
[1734] Pulmannová, S. (1983),.
[1735] Pulmannová, S. (1983 a), On representations of logics,Math. Slovaca 33, 357–362. · Zbl 0531.03040
[1736] Pulmannová, S. (1983 b), Coupling of quantum logics,Int. J. Theor. Phys. 22, 837–850. · Zbl 0538.06011 · doi:10.1007/BF02114666
[1737] Pulmannová, S. (1984),.
[1738] Pulmannová, S. (1984 a), On the products of quantum logics,Rend. Circ. Mat. Palermo II 3, 231–235. · Zbl 0542.03037
[1739] Pulmannová, S. (1984 b), On a characterization of linear subspaces of observables,Demonstratio Math. 17, 1073–1078. · Zbl 0592.06004
[1740] Pulmannová, S. (1985), Tensor product of quantum logics,J. Math. Phys. 26, 1–5. · Zbl 0558.03032 · doi:10.1063/1.526784
[1741] Pulmannová, S. (1985 a), Commutators in orthomodular lattices,Demonstratio Math. 18, 187–208. · Zbl 0591.06011
[1742] Pulmannová, S. (1985 b),.
[1743] Pulmannová, S. (1985 c),.
[1744] Pulmannová, S. (1986), Transition probability spaces,J. Math. Phys. 27, 1791–1795. · doi:10.1063/1.527045
[1745] Pulmannová, S. (1986 a), Functional properties of transition probability spaces,Rep. Math. Phys. 24, 81–86. · Zbl 0638.03060 · doi:10.1016/0034-4877(86)90042-X
[1746] Pulmannová, S. (1987),. · Zbl 0622.46055 · doi:10.1063/1.527669
[1747] Pulmannová, S. (1988, 1988 a),. · Zbl 0661.46019 · doi:10.1007/BF00674351
[1748] Pulmannová, S. (1988 b), Uncertainty relations and state spaces,Ann. Inst. Henri Poincaré A 48, 325–332. · Zbl 0659.03040
[1749] Pulmannová, S. (1988 c), Joint distribution of observables on spectral logics,Rep. Math. Phys. 26, 67–71. · Zbl 0667.03047 · doi:10.1016/0034-4877(88)90005-5
[1750] Pulmannová, S. (1988 d), Some properties of transition amplitude spaces, inJán88, pp. 119–123.
[1751] Pulmannová, S. (1988 e), Free product of ortholattices,Acta Sci. Math. Szeged. 52, 47–52. · Zbl 0656.06011
[1752] Pulmannová, S. (1989), Mielnik and Cantoni transition probabilities,Int. J. Theor. Phys. 28, 711–718. · Zbl 0689.60007 · doi:10.1007/BF00669818
[1753] Pulmannová, S. (1989 a,1989 b),.
[1754] Pulmannová, S. (1989 c), Representations of quantum logics and transition probability spaces, in Bitsakis, E. 1., and C. A. Nicolaides (eds.),The concept of probability, Kluwer, Dordrecht, Holland, pp. 51–59.
[1755] Pulmannová, S. (1989 d,1991),.
[1756] Pulmannová, S. (1990), Transition amplitude spaces and quantum logics with vector-valued states,Found. Phys. 29, 455–460. · Zbl 0704.03045
[1757] Pulmannová, S. (1990 a), Sum logics and Hilbert spaces, inJán90, pp. 169–174. · Zbl 0762.03022
[1758] Pulmannová, S. (1990 b),.
[1759] Pulmannová, S. (1990 c,1990 d). · doi:10.1007/BF00731854
[1760] Pulmannová, S., andA. Dvurečenskij (1980), Stochastic processes on quantum logics,Rep. Math. Phys. 18, 303–315. · Zbl 0546.60039 · doi:10.1016/0034-4877(80)90093-2
[1761] Pulmannová, S., andA. Dvurečenskij (1985), Uncertainty principle and joint distribution of observables,Ann. Inst. Henri Poincaré A 42, 253–265.
[1762] Pulmannová, S., andA. Dvurečenskij (1989), Sum logics and sums of unbounded observables,Rep. Math. Phys. 28, 361–371. · Zbl 0749.03045 · doi:10.1016/0034-4877(89)90069-4
[1763] Pulmannová, S., andA. Dvurečenskij (1990), Quantum logics, vector-valued measures, and representations,Ann. Inst. Henri Poincaré A 53, 83–94.
[1764] Pulmannová, S., andS. Gudder (1987), Geometric properties of transition amplitude spaces,J. Math. Phys. 28, 2393–2399. · Zbl 0646.46073 · doi:10.1063/1.527777
[1765] Pulmannová, S., andZ. Riečanová (1989), A topology of quantum logics,Proc. Am. Math. Soc. 106, 891–897. · Zbl 0679.06004 · doi:10.1090/S0002-9939-1989-0967488-4
[1766] Pulmannová, S., and Z. Riečanová (1990), A remark to orthomodular lattices with almost orthogonal set of atoms, inJán90, pp. 175–176. · Zbl 0762.06002
[1767] Pulmannová, S., andZ. Riečanová (1991), Logics with separating sets of measures,Math. Slovaca 41, 167–178. · Zbl 0774.06005
[1768] Pulmannová, S., andB. Stehlíková (1986), Strong law of large numbers and central limit theorem on a Hilbert space logic,Rep. Math. Phys. 23, 99–107. · Zbl 0612.60004 · doi:10.1016/0034-4877(86)90070-4
[1769] Putnam, H. (1957), Three-valued logic,Philos. Studies 8, 73–80; reprinted in Hooker, C. A. (1975), pp. 99–107. · doi:10.1007/BF02304905
[1770] Putnam, H. (1969), Is logic empirical?, inBoston66/68, pp. 216–241; reprinted in Hooker, C. A. (1979), pp. 181–206; also reprinted in Putnam, H.,Philosophical papers, Vol. I, Cambridge University Press, Cambridge (1975), pp. 174–197.
[1771] Putnam, H. (1974), How to think quantum-logically,Synthese 29, 55–61; reprinted in Suppes, P. (1974), pp. 47–53. · Zbl 0338.02003 · doi:10.1007/BF00484951
[1772] Putnam, H. (1978),. · Zbl 0402.03016 · doi:10.1111/j.1746-8361.1978.tb01319.x
[1773] Pyatnitsyn, V. N., andV. S. Meskov (1972), On the status of logic in quantum mechanics,Theorie a Metoda 4, 111–129.
[1774] Pykacz, J. (1983), Affine Maczyński logics on compact convex sets of states,Int. J. Theor. Phys. 22, 97–106. · Zbl 0507.03029 · doi:10.1007/BF02082526
[1775] Pykacz, J. (1986),. · Zbl 0625.03041 · doi:10.1007/BF00668706
[1776] Pykacz, J. (1987), Quantum logics as families of fuzzy subsets of the set of physical states, inProceedings of the Second International Fuzzy Systems Association Congress, Tokyo, July 20–25, 1987, Vol. 2, Tokyo (1987), pp. 437–440.
[1777] Pykacz, J. (1987 a), Quantum logics and soft fuzzy probability spaces,Bull. Sous-Ensembl. Flous Appl. 32, 150–157. · Zbl 0662.03055
[1778] Pykacz, J. (1988), Probability measures in the fuzzy set approach to quantum logics, inJán88, pp. 124–128; reprinted inBull. Sous-Ensembl. Flous Appl. 37, 81–85.
[1779] Pykacz, J. (1988 a), On the geometrical origin of Bell’s inequalities, inGdańsk87, pp. 706–712.
[1780] Pykacz, J. (1989), On Bell-type inequalities in quantum logics, in Bitsakis, E. I., and C. A. Nicolaides (eds.),The concept of probability, Kluwer, Dordrecht, Holland, pp. 115–120.
[1781] Pykacz, J. (1989 a), Fuzzy set description of physical systems and their dynamics,Bull. Sous-Ensembl. Flous Appl. 38, 102–107.
[1782] Pykacz, J. (1990), Logical analysis of relations between quantum, classical, and hidden-variable theories, inGdańsk89, pp. 453–460.
[1783] Pykacz, J. (1990 a), Fuzzy quantum logics and the problem of connectives,Bull. Sous-Ensembl. Flous Appl. 43, 49–53.
[1784] Pykacz, J., andE. Santos (1990), Constructive approach to logics of physical systems: Applications to EPR case,Int. J. Theor. Phys. 29, 1041–1058. · Zbl 0760.03020 · doi:10.1007/BF00672083
[1785] Pykacz, J., andE. Santos (1991), Hidden variables in quantum logic approach re-examined,J. Math. Phys. 32, 1287–1292. · Zbl 0729.03037 · doi:10.1063/1.529327
[1786] Quadt, R. (1989), The nonobjectivity of past events in quantum mechanics,Found. Phys. 19, 1027–1035. · doi:10.1007/BF01883155
[1787] Quay, P. M. (1974), Progress as a demarcation criterion for the sciences,Philos. Sci. 41, 154–170. · doi:10.1086/288580
[1788] Rabinovitch, V. L. (1987) (ed.),Abstracts of the 8th International Congress on Logic, Methodology, and Philosophy of Science (Moscow, August 1987) [Moscow87], Academy of sciences of the USSR, Moscow.
[1789] Raczyński, A. (1986), Review ofSymposium on the foundations of modern physics 85 edited by P. Lahti and P. Mittelstaedt,Rep. Math. Phys. 24, 261–262.
[1790] Ramsay, A. (1965), Dimension theory in complete orthocomplemented weakly modular lattices,Trans. Am. Math. Soc. 116, 9–13. · Zbl 0163.26206 · doi:10.1090/S0002-9947-1965-0193037-5
[1791] Ramsay, A. (1966), A theorem on two commuting observables,J. Math. Mech. 15, 227–234. · Zbl 0143.23003
[1792] Randall, C. H. (1969), A complete and countable orthomodular lattice is atomic,Proc. Am. Math. Soc. 21, 253. · Zbl 0182.02902
[1793] Randall, C. H. (1971, 1971a, 1972, 1974, 1974a, 1974b, 1978, 1979, 1981, 1981a, 1983, 1984, 1985) see Foulis, D. J, and C. H. Randall (1971, 1971a, 1972, 1974, 1974a, 1974b, 1978, 1979, 1981, 1981a, 1983, 1984, 1985).
[1794] Randall, C. H. (1980).
[1795] Randall, C. H. (1983 a). · doi:10.1007/BF01906272
[1796] Randall, C. H. (1987) see Kläy, M. P., C. H. Randall, and D. Foulis (1987).
[1797] Randall, C. H., andD. J. Foulis (1970), An approach to empirical logic,Am. Math. Monthly 77, 364–374. · Zbl 0209.30302 · doi:10.2307/2316143
[1798] Randall, C. H., andD. J. Foulis (1972), States and the free orthogonality monoid,Math. Syst. Theory 6, 268–276. · Zbl 0239.06005 · doi:10.1007/BF01740718
[1799] Randall, C. H., andD. J. Foulis (1973), Operational statistics, II. Manuals of operations and their logics,J. Math. Phys. 14, 1472–1480. · Zbl 0287.60003 · doi:10.1063/1.1666208
[1800] Randall, C. H., and D. J. Foulis (1976), A mathematical setting for inductive reasoning, inOntario73III, pp. 169–205. · Zbl 0344.02019
[1801] Randall, C. H., andD. J. Foulis (1979), The operational approach to quantum mechanics, in Hooker, C. A. (1979a), pp. 167–201.
[1802] Randall, C. H., andD. J. Foulis (1979 a), Tensor products of quantum logics do not exist,Not. Am. Math. Soc. 26, A-557.
[1803] Randall, C. H., and D. J. Foulis (1981), Operational statistics and tensor products, inMarburg79, pp. 21–28. · Zbl 0495.03042
[1804] Randall, C. H., andD. J. Foulis (1983), Properties and operational propositions in quantum mechanics,Found. Phys. 13, 843–857. · doi:10.1007/BF01906272
[1805] Randall, C. H., and D. J. Foulis (1985), Stochastic entities, inCologne84, pp. 265–284.
[1806] Randall, C. H., M. F. Janowitz, andD. J. Foulis (1973), Orthomodular generalizations of homogeneous Boolean algebras,J. Aust. Math. Soc. 15, 94–104. · Zbl 0276.06008 · doi:10.1017/S1446788700012805
[1807] Rédei, M. (1986), Nonexistence of hidden variables in the algebraic approach.Found. Phys. 16, 807–815. · doi:10.1007/BF00735381
[1808] Rédei, M. (1986 a), Quantum conditional probabilities are not probabilities of quantum conditional,Phys. Lett. A 139, 287–290.
[1809] Rédei, M. (1987), On the problem of local hidden variables in algebraic quantum mechanics,J. Math. Phys. 28, 833–835. · doi:10.1063/1.527571
[1810] Rédei, M. (1989), The hidden variable problem in algebraic relativistic quantum field theory,J. Math. Phys. 30, 461–463. · Zbl 0662.46072 · doi:10.1063/1.528411
[1811] Rehder, W. (1979), Spectral properties of products of projections in quantum probability theory,Int. J. Theor. Phys. 18, 791–805. · Zbl 0443.47002 · doi:10.1007/BF00670458
[1812] Rehder, W. (1980), Quantum logic of sequential events and their objectivistic probabilities,Int. J. Theor. Phys. 19, 221–237. · Zbl 0449.03072 · doi:10.1007/BF00670678
[1813] Rehder, W. (1980 a), Quantum probability zero-one law for sequential terminal events,Int. J. Theor. Phys. 19, 523–536. · Zbl 0439.60023 · doi:10.1007/BF00671819
[1814] Rehder, W. (1980 b), When do projections commute?,Z. Naturforsch. 35, 437–441. · Zbl 0582.47036
[1815] Rehder, W. (1981), Modal foundations of probability theory,Erkenntnis 16, 61–71. · doi:10.1007/BF00219643
[1816] Rehder, W. (1982), Conditions for probabilities of conditionals to be conditional probabilities,Synthese 53, 439–443. · Zbl 0503.60002 · doi:10.1007/BF00486160
[1817] Rdehder, W. (1983), Glimpses of the disastrous invasion of philosophy by logic,Logique Analyse 26(102), 225–239.
[1818] Reichenbach, H. (1944),Philosophical foundation of quantum mechanics, University of California Press, Los Angeles.
[1819] Reichenbach, H. (1946), Reply to Ernest Nagel’s criticism of my views on quantum mechanics,J. Philos. 43, 239–247. · doi:10.2307/2019124
[1820] Reichenbach, H. (1948), The principle of anomaly in quantum mechanics,Dialectica 2, 337–350. · Zbl 0041.35315 · doi:10.1111/j.1746-8361.1948.tb00707.x
[1821] Reichenbach, H. (1952), Les fondements logiques de la théorie des quanta: Utilisation d’une logique à trois valeurs, inApplications scientifique de la logique mathématique, Acta du 2e Colloque International de Logique Mathématique, Paris.
[1822] Reichenbach, H. (1975), Three-valued logic and the interpretation of quantum mechanics, in Hooker, C. A. (1975), pp. 53–97.
[1823] Richter, E. (1964), Bemerkungen zur ”Quantenlogik,”Phil. Natur. 8, 225–231.
[1824] Riecan, B. (1979), The measure extension theorem for subadditive probability measures in orthomodular{\(\sigma\)}-continuous lattices,Comment. Math. Univ. Carotin. 20, 309–316. · Zbl 0413.28006
[1825] Riečan, B. (1980, 1988, 1989) see Dvurečenskij, A., and B. Riečan (1980, 1988, 1989) Fuzziness and comensurability,Fascic. Math.22, 39–47.
[1826] Riečan, B. (1988 a) see Kôpka, F., and B. Riečan (1988).
[1827] Riečan, B. (1988 b), A new approach to some notions of statistical quantum mechanics,Bull. Sous-Ensembl. Flous Appl. 36, 4–6.
[1828] Riečan, B. (1989), Indefinite integral in fuzzy quantum spaces,Bull. Sous-Ensembl. Flous Appl. 38, 5–7.
[1829] Riečan, B. (1990), On mean value inF-quantum spaces,Aplikace Matematiky 35, 209–214. · Zbl 0719.60002
[1830] Riečanová, Z. (1988), Some properties of topology in quantum logics induced by measures, inJán88, pp. 129–132.
[1831] Riečanová, Z. (1989), Topology in a quantum logic induced by a measure, inProceedings of the conference: Topology and Measure V (Binz, Germany, 1987), Wissenschaftliche Beitrage der Ernst-Moritz-Arndt Universität Greifswald (1988), pp. 126–130.
[1832] Riečanová, Z. (1989 a), Topologies in atomic quantum logics,Acta Univ. Carolin. Math. Phys. 30(2), 143–148. · Zbl 0704.03046
[1833] Riečanová, Z. (1989 b,1990, 1991) see Pulmannová, S., and Z. Riečanová (1989, 1990, 1991).
[1834] Riečanová, Z. (1990 a).
[1835] ival, I. (1975) see Davey, B. A., W. Poguntke, and I. Rival (1975).
[1836] Roberts, J. E., andG. Roepstorff (1969), Some basic concepts of algebraic quantum theory,Commun. Math. Phys. 11, 321–338. · Zbl 0167.55806 · doi:10.1007/BF01645853
[1837] Roddy, M. (1984), An orthomodular analogue of the Birkhoff-Menger theorem,Algebra Universalis 19, 55–60. · Zbl 0546.06008 · doi:10.1007/BF01191492
[1838] Roddy, M. (1987) see Mayet, R., and M. Roddy (1987).
[1839] Roddy, M. (1990), A modular ortholattice without the relative center property, inJán90, pp. 188–190. · Zbl 0744.06005
[1840] Rodriguez, E. (1984, 1985, 1986). · doi:10.1007/BF02213417
[1841] Rodriguez, E. (1986 a). · Zbl 0646.05055 · doi:10.1016/0166-218X(86)90013-2
[1842] Roepstorff, G. (1969) see Roberts, J. E., and G. Roepstorff (1969).
[1843] Rogalewicz, V. (1983, 1983a). · Zbl 0507.06008 · doi:10.1016/0022-4049(83)90074-9
[1844] Rogalewicz, V. (1984), Remarks about measures on orthomodular posets,Časopis Pěst. Mat. 109, 93–99. · Zbl 0538.06010
[1845] Rogalewicz, V. (1984 a), A note on the uniqueness problem for observables,Acta Polytechnica Práce ČVUT Praha 6 Ser. IV 1984(1), 107–111.
[1846] Rogalewicz, V. (1984 b), On the uniqueness problem for observables for quite full logics,Ann. Inst. Henri Poincaré A 41, 445–451. · Zbl 0581.03044
[1847] Ogalewicz, V. (1988, 1988 a).
[1848] Rogalewicz, V. (1988 b).
[1849] Rogalewicz, V. (1988 c), Any orthomodular poset is a pasting of Boolean algebras,Comment. Math. Univ. Carolin. 29, 557–558. · Zbl 0659.06006
[1850] Rogalewicz, V. (1989), A remark on{\(\lambda\)}-regular orthomodular lattices,Aplikace Matematiky 34, 449–452. · Zbl 0689.06008
[1851] Rogalewicz, V. (1991).
[1852] Rogalewicz, V. (1991 a), Jauch-Piron logics with finiteness conditions,Int. J. Theor. Phys. 30, 437–445. · Zbl 0728.03034 · doi:10.1007/BF00672890
[1853] Rogalewicz, V. (1991 b), On generating and concreteness in quantum logics,Math. Slovaca 41, 431–435. · Zbl 0771.03023
[1854] Rogalewicz, V., and M. Navara (1988), On constructions of orthomodular posets, inJán88, pp. 133–137. · Zbl 0691.03047
[1855] Román, L., andB. Rumbos (1988), Remarks on material implication in orthomodular lattice,C. R. Math. Rep. Acad. Sci. Can. 10, 279–284. · Zbl 0666.06006
[1856] Romberger, S. (1971) see Nakano, H., and S. Romberger (1971).
[1857] Rose, G. (1964), Zur Orthomodularität von Wahrscheinlichkeitsfeldern,Z. Phys. 181, 331–332. · doi:10.1007/BF01418540
[1858] Ruegg, H. (1961).
[1859] Rumbos, B. (1988) see Roman, L., and B. Rumbos (1988).
[1860] Rüttimann, G. T. (1970), On the logical structure of quantum mechanics,Found. Phys. 1, 173–182; reprinted in Hooker, C. A. (1979), pp. 109–119. · doi:10.1007/BF00708725
[1861] Rüttimann, G. T. (1974), Closure operators and projections on involution posets,J. Amt. Math. Soc. 18, 453–457. · Zbl 0296.06001 · doi:10.1017/S1446788700029141
[1862] Rüttimann, G. T. (1974 a), Projections on orthomodular lattices, inMarburg73, pp. 334–341.
[1863] Rüttimann, G. T. (1975), Decompositions of projections on orthomodular lattices,Can. Math. Bull. 18, 263–267. · Zbl 0316.06004 · doi:10.4153/CMB-1975-050-0
[1864] Rüttimann, G. T. (1975 a), The Hahn-Jordan decomposition theorem in finite quantum logics,Notices Am. Math. Soc. 22, A-183.
[1865] Rüttimann, G. T. (1976), Stable faces of a polytope,Bull. Am. Math. Soc. 82, 314–316. · Zbl 0342.52013 · doi:10.1090/S0002-9904-1976-14037-2
[1866] Rüttimann, G. T. (1977), Jauch-Piron states,J. Math. Phys. 18, 189–193. · Zbl 0388.03025 · doi:10.1063/1.523255
[1867] Rüttimann, G. T. (1977 a), Jordan-Hahn decomposition of signed weights on finite orthogonality,Comment. Math. Helvetici 52, 129–144. · Zbl 0368.06008 · doi:10.1007/BF02567360
[1868] Rüttimann, G. T. (1977 b),Logikkalküle der Quantenphysik. Eine Abhandlung zer Ermittlung der formal-logischen Systeme, die der nicht-relativistischen Quantentheorie zugrundeliegen, Duncker & Humblot, Berlin.
[1869] Rüttimann, G. T. (1978, 1978 a) see Fischer, H. R., and G. T. Rüttimann (1978, 1978a).
[1870] Rüttimann, G. T. (1979), On the logical structure of quantum mechanics, in Hooker, C. A. (1979), pp. 109–119.
[1871] Rüttimann, G. T. (1981), Detectable properties and spectral quantum logics, inMarburg79, pp. 35–47. [1615]
[1872] Rüttimann, G. T. (1982). · Zbl 0508.03028 · doi:10.1063/1.525331
[1873] Rüttimann, G. T. (1985), Quantum logic and convex structures, inCologne84, pp. 319–328.
[1874] Rüttimann, G. T. (1985 a). · Zbl 0591.03047 · doi:10.1016/0034-4877(85)90024-2
[1875] Rüttimann, G. T. (1985 b,1985 c). · Zbl 0577.46007 · doi:10.1017/S0305004100063489
[1876] Rüttimann, G. T. (1985 d), Expectation functionals of observables and counters,Rep. Math. Phys. 21, 213–222. · Zbl 0591.03048 · doi:10.1016/0034-4877(85)90061-8
[1877] Rüttimann, G. T. (1985 e). · Zbl 0607.03018 · doi:10.1016/0034-4877(85)90010-2
[1878] Rüttimann, G. T. (1986) see Gudder, S. P., M. P. Kläy, and G. T. Rüttimann (1986).
[1879] Rüttimann, G. T. (1986 a,1988,1988 a) see Gudder, S. P., and G. T. Rüttimann (1986, 1988, 1988a).
[1880] Rüttimann, G. T. (1988 b), The Jordan-Hahn property, inJán88, pp. 138–145.
[1881] Rüttimann, G. T. (1988 c,1989).
[1882] Rüttimann, G. T. (1989 a), Weak density of states,Found. Phys. 19, 1101–1112. · doi:10.1007/BF01883160
[1883] Rüttimann, G. T. (1989 b), Probability in quantum mechanics, in Bitsakis, E. I., and C. A. Nicolaides (eds.),The concept of probability, Kluwer, Dordrecht, Holland, pp. 61–68.
[1884] Rüttimann, G. T. (1989 c), Book review:Quantum probability by Stanley P. Gudder,Found. Phys. 19, 1279–1281.
[1885] Rüttimann, G. T. (1989 d), The approximate Jordan-Hahn decomposition,Can. J. Math. 41, 1124–1146. · Zbl 0699.28001 · doi:10.4153/CJM-1989-050-5
[1886] üttimann, G. T. (1990) see Edwards, C. M., and G. T. Rüttimann (1990).
[1887] Rüttimann, G. T. (1990 a), On inner ideals in ternary algebras,Math. Z. 204, 309–318. · Zbl 0676.46049 · doi:10.1007/BF02570876
[1888] Rüttimann, G. T. (1991).
[1889] Rüttimann, G. T., andC. Schindler (1986), The Lebesgue decomposition of measures on orthomodular posets,Q. J. Math. Oxford 37, 321–345. · Zbl 0617.46065 · doi:10.1093/qmath/37.3.321
[1890] Rüttimann, G. T., andC. Schindler (1987), On{\(\sigma\)}-convex sets of probability measures,Bull. Polish Acad. Sci. Math. 33, 583–595. · Zbl 0636.60003
[1891] Saarimäki, M. (1982), Counterexamples to the algebraic closed graph theorem,J. Lond. Math. Soc. 26, 421–424. · Zbl 0495.46006 · doi:10.1112/jlms/s2-26.3.421
[1892] Salzburg83 see Weingartner, P. (1983).
[1893] Santos (1990, 1991) see Pykacz, J., and E. Santos (1990, 1991).
[1894] Sarmiento, J. (1986) see Anger, F. D., J. Sarmiento, and R. V. Rodriguez (1986).
[1895] Sasaki, U. (1952), Lattice theoretical characterization of geometries satisfying ”Axiome der Verknüpfung,”J. Sci. Hiroshima Univ. A 16, 417–423. · Zbl 0051.11208
[1896] Sasaki, U. (1954), Orthocomplemented lattices satisfying the exchange axiom,J. Sci. Hiroshima Univ. A 17, 293–302. · Zbl 0055.25902
[1897] Savelév, L. Ja. (1982), Measures on ortholattices,Sov. Math. Doklady 25, 837–840 (1982).
[1898] Schaefer, H. H. (1974), Ordering of vector spaces, inMarburg73, pp. 4–10.
[1899] Scheibe, E. (1958).
[1900] Scheibe, E. (1960), Über hermitische Formen in topologischen Vektorräumen. I,Ann. Akad. Sci. Fennicae, Ser: A. I. Math. 294, 1–30. · Zbl 0124.31603
[1901] Scheibe, E. (1973),The logical analysis of quantum mechanics, Pergamon Press, New York.
[1902] Scheibe, E. (1974), Popper and quantum logic,Br. J. Philos. Sci. 25, 319–342. · Zbl 0344.02004 · doi:10.1093/bjps/25.4.319
[1903] Scheibe, E. (1985), Quantum logic and some aspects of logic in general, inCologne84, pp. 115–128.
[1904] Schelp, R. H. (1970) see Gudder, S. P., and R. H. Schelp (1970).
[1905] Scheuerer, P. B. (1972), Logique fermionique et logique bosonique,Int. Logic Rev. 3, 188–206.
[1906] Schieder, R. (1987) Mittelstaedt, P., A. Prieur, and R. Schieder (1987).
[1907] Schiminovich, S. (1962, 1962 a,1963).
[1908] Schindler, C. (1986, 1987) see Rüttimann, G. T., and C. Schindler (1986, 1987).
[1909] Schindler, C. (1988), The Lebesgue decomposition of measures on finite orthomodular posets, inJán88, pp. 146–151. · Zbl 0681.28003
[1910] Schindler, C. (1989), Physical and geometrical characterization of the Jordan-Hahn and the Lebesgue decomposition,Found. Phys. 19, 1299–1314. · doi:10.1007/BF00732752
[1911] Schindler, C. (1990), The unique Jordan-Hahn decomposition property,Found. Phys. 20, 561–573. · doi:10.1007/BF01883239
[1912] Schindler, C. (1990 a), Constructible hypergraphs,Discrete Math. (to appear). · Zbl 0756.05084
[1913] Schindler, C. (1990 b) see Gudder, S. P., and C. Schindler (1990).
[1914] Schindler, C. (1991), Quantum logics with the existence property,Found. Phys. 21, 483–498. · doi:10.1007/BF00733360
[1915] Schlessinger, M. (1965). · Zbl 0171.25403 · doi:10.1215/S0012-7094-65-03224-2
[1916] Schmidt, E. T. (1965), Remark on a paper of M. F. Janowitz,Ada Math. Hungar. 16, 435. · Zbl 0139.01204 · doi:10.1007/BF01904848
[1917] Schmidt, H.-J. (1983) see Hartkämper, A., and H.-J. Schmidt (1983).
[1918] Schrag, G. (1976), Every finite group is the automorphism group of some finite orthomoduiar lattice,Proc. Am. Math. Soc. 55, 243–249. · Zbl 0352.06007 · doi:10.1090/S0002-9939-1976-0398933-4
[1919] Schrag, G. (1988), Automorphism groups and full state spaces of the Peterson graph generalizations ofG 32,Discrete Math. 70, 185–198. · Zbl 0644.05025 · doi:10.1016/0012-365X(88)90092-1
[1920] Schreiner, E. A. (1966), Modular pairs in orthomodular lattices,Pacific J. Math. 19, 519–528. · Zbl 0148.25605
[1921] Schreiner, E. A. (1969), A note on O-symmetric lattices,Caribbean J. Sci. Math. 1, 40–50.
[1922] Schroeck, Jr., F. E., andD. J. Foulis (1990), Stochastic quantum mechanics viewed from the language of manuals,Found. Phys. 20, 823–858. · doi:10.1007/BF01889693
[1923] Schröter, J. (1970), A note concerning propositions in quantum mechanics,Ann. Phys. (Leipzig),25, 243–245.
[1924] Schulte-Mönting, J. (1981), Cut elimination and word problem for varieties of lattices,Algebra Universalis 12, 290–321. · Zbl 0528.03029 · doi:10.1007/BF02483891
[1925] chulte-Mönting, J. (1985), Central amalgamation for orthomodular lattices, inCologne84, pp. 291–297.
[1926] Schultz, F. W. (1974), A characterization of state spaces of orthomodular lattices,J. Combin. Theory 17A, 317–328. · Zbl 0317.06007 · doi:10.1016/0097-3165(74)90096-X
[1927] Schultz, F. W. (1975) see Alfsen, E. M., and F. W. Schultz (1975).
[1928] Schultz, F. W. (1977), Events and observables in axiomatic quantum mechanics,Int. J. Theor. Phys. 16, 259–272. · Zbl 0384.03045 · doi:10.1007/BF01811167
[1929] Schultz, F. W. (1978). · Zbl 0397.46065 · doi:10.1016/0001-8708(78)90044-0
[1930] Schultz, F. W. (1978 a,1979).
[1931] Schuppli, R. (1985) see Gross, H., Z. Lomecky, and R. Schuppli (1985).
[1932] Schweigert, D. (1977), Affine complete ortholattices,Proc. Am. Math. Soc. 67, 198–200. · doi:10.1090/S0002-9939-1977-0460196-X
[1933] Schweigert, D. (1981), Compatible relations of modular and orthomodular lattices,Proc. Am. Math. Soc. 81, 462–464. · Zbl 0458.06005 · doi:10.1090/S0002-9939-1981-0597663-5
[1934] Scientia83:Logic in the 20th century. A series of papers on the present state and tendencies of studies, Scientia, Milan (1983).
[1935] Segal, I. E. (1947), Postulates for general quantum mechanics,Ann. Math. 48, 930–948. · Zbl 0034.06602 · doi:10.2307/1969387
[1936] Segal, I. E. (1953), A non-commutative extension of abstract integration,Ann. Math. 57, 401–457. · Zbl 0051.34201 · doi:10.2307/1969729
[1937] Segal, I. E. (1953 a), Correction to: ”A non-commutative extension of abstract integration,”Ann. Math. 58, 595–596. · Zbl 0051.34202 · doi:10.2307/1969759
[1938] Segal, I. E. (1981), Quantum implications of global space-time structure, inTutzing80, pp. 42–63.
[1939] Selesnick, S. A. (1973) see Graves, W. H., and S. A. Selesnick (1973).
[1940] Selleri, F., andG. Tarozzi (1978), Is nondistributivity for microsystems empirically founded?,Nuovo Cimento 43B, 31–40.
[1941] Serstnev, A. N. (1981), On Boolean logics,Uchen. Zap. Kazan Univ. 128, 48–62.
[1942] Sharma, C. S. (1980), Mackey’s eighth axiom and quantum logics,Phys. Lett. A 80, 135–139. · doi:10.1016/0375-9601(80)90204-2
[1943] Sharma, C. S. (1984) see Nicholson, G. E., A. Grubb, and C. S. Sharma (1984).
[1944] Sharma, C. S. (1988), Quantum theory in complex Hilbert space,Nuovo Cimento B 102, 325–329. · doi:10.1007/BF02726739
[1945] Sharma, C. S., andT. J. Coulson (1987), Quantum theory in real Hilbert space,Nuovo Cimento B 100, 417–420. · doi:10.1007/BF02722899
[1946] Sharma, C. S., andM. K. Mukherjee (1977), An extended characterization theorem for quantum logics,J. Phys. A 10, 1665. · Zbl 0366.06015 · doi:10.1088/0305-4470/10/10/003
[1947] Sherman, S. (1956), On Segal’s postulates for general quantum mechanics,Ann. Math. 64, 593–601. · Zbl 0075.21802 · doi:10.2307/1969605
[1948] Shimony, A. (1971), Filters with infinitely many components,Found. Phys. 1, 325–328. · doi:10.1007/BF00708582
[1949] Shimony, A. (1977) see Hultgren III, B. O., and A. Shimony (1977).
[1950] Shimony, A. (1988) see de Obaldia, E., A. Shimony, and F. Wittel (1988).
[1951] Shimony, A., andH. Stein (1979), A problem in Hilbert space theory arising from quantum theory of measurement,Am. Math. Monthly 86, 292–293. · Zbl 0406.47016 · doi:10.2307/2320750
[1952] Shiva, V. (1978).
[1953] Šimon, J. (1981), Opérations dérivées des treillis orthomodulaires (Part 1),Acta Univ. Carolin. Math. Phys. 22(2), 7–14.
[1954] Šimon, J. (1982), Opérations dérivées des treillis orthomodulaires (Part 2),Acta Univ. Carolin. Math. Phys. 23(1), 29–36.
[1955] Šimon, J. (1986), Opérations dérivées des treillis orthomodulaires (Part 3),Acta Univ. Carolin. Math. Phys. 27(2), 11–17.
[1956] Singer, M. (1990). · doi:10.1007/BF00689882
[1957] Singer, M. (1990 a) see Hellwig, K.-E., and M. Singer (1990).
[1958] Šipoš, J. (1978), Subalgebras and sublogics of{\(\sigma\)}-logics,Math. Slovaca 28, 3–9. · Zbl 0365.02015
[1959] Sjödin, T. (1978).
[1960] Sjödin, T. (1980), Logikkalküle und Hilbert-Unterraumverband, inCologne78, pp.93–101.
[1961] Śniatycki, J. (1987), On geometric quantization of classical systems, inLoyola77, pp. 287–297.
[1962] Sobociński, B. (1975), A short postulate-system for ortholattices,Notre Dame J. Formal Logic 16, 141–144. · Zbl 0293.02044 · doi:10.1305/ndjfl/1093891623
[1963] Sobociński, B. (1976), A short equational axiomatization of modular ortholattices,Notre Dame J. Formal Logic 16, 311–316. · Zbl 0324.02045 · doi:10.1305/ndjfl/1093887545
[1964] Sobociński, B. (1976 a), A short equational axiomatization of orthomodular lattices,Notre Dame J. Formal Logic 17, 317–320. · Zbl 0324.02046 · doi:10.1305/ndjfl/1093887546
[1965] Sobociński, B. (1976 b), The modular latticoids,Notre Dame J. Formal Logic 17, 617–621. · Zbl 0336.06008 · doi:10.1305/ndjfl/1093887732
[1966] Sobociński, B. (1976 c), The axioms for latticoids and their associative extensions,Notre Dame J. Formal Logic 17, 625–631. · Zbl 0334.06001 · doi:10.1305/ndjfl/1093887734
[1967] Sobociński, B. (1979), Equational two axioms bases for Boolean algebras and some other lattices,Notre Dame J. Formal Logic 20, 865–879. · Zbl 0437.06001 · doi:10.1305/ndjfl/1093882808
[1968] Solombrino, L. (1983).
[1969] Sotirov, V. K. (1972), Osnovaniya kvantnovoi logiki,Doklady Bulg. Akad. Nauk 25, 7–10.
[1970] Specker, E. P. (1960), Die Logik nicht gleichzeitig entscheidbar Aussagen,Dialectica 14, 239–246. · doi:10.1111/j.1746-8361.1960.tb00422.x
[1971] Specker, E. P. (1965,1965a, 1967) see Kochen, S., and E. P. Specker (1965, 1965a, 1967).
[1972] Specker, E. P. (1975), The logic of propositions which are not simultaneously decidable [A translation of Specker, E. P. (1960)], in Hooker, C. A. (1975), pp. 135–140.
[1973] Speiser, D. (1962,1962a, 1963) see Finkelstein, D., J. M. Jauch, S. Schiminovich, and D. Speiser (1962, 1962a, 1963).
[1974] Speiser, D. (1979) see Finkelstein, D., J. M. Jauch, and D. Speiser (1979).
[1975] Srinivas, M. D. (1976), Foundations of quantum probability theory,J. Math. Phys. 16, 1672–1685; reprinted in Hooker, C. A. (1979), pp. 227–260. · doi:10.1063/1.522736
[1976] Stachel, J. (1974), Comments on ’The formal representation of physical quantities’, in Cohen, R. S., and M. W. Wartofsky (1974), pp. 214–223.
[1977] Stachel, J. (1976), The ’logic’ of ’quantum logic’, inPSA74, pp. 515–526.
[1978] Stachel, J. (1986), Do quanta need a new logic, in Colodny, R. G. (ed.),From quarks to quasars. Philosophical problems of modern physics (University of Pittsburgh Series in the Philosophy of Science, Vol. 5), University of Pittsburgh Press, Pittsburgh, Pennsylvania, pp. 229–347.
[1979] Stachow, E.-W. (1974). · doi:10.1007/BF00708541
[1980] Stachow, E.-W. (1976), Completeness of quantum logic,J. Philos. Logic 5, 237–280; reprinted in Hooker, C. A. (1979a), pp. 203-243. · Zbl 0334.02018 · doi:10.1007/BF00248731
[1981] Stachow, E.-W. (1977), How does quantum logic correspond to physical reality,J. Philos. Logic 6, 485–496. · Zbl 0387.03027 · doi:10.1007/BF00262085
[1982] Stachow, E.-W. (1978).
[1983] Stachow, E.-W. (1978 a), Quantum logical calculi and lattice structures,J. Philos. Logic 6, 347–386; reprinted in Hooker, C. A. (1979a), pp. 245-284. · Zbl 0387.03028
[1984] Stachow, E.-W. (1979), An operational approach to quantum probability, in Hooker, C. A. (1979a), pp. 285–321.
[1985] Stachow, E.-W. (1979 a), Operational approach to quantum probability, in6th International Congress on Logic, Methodology, and Philosophy of Science, Hannover, pp. 184–190.
[1986] Stachow, E.-W. (1980), A model theoretic semantics for quantum logic, inPSA80, pp. 72–280.
[1987] Stachow, E.-W. (1980 a), Logical foundation of quantum mechanics,Int. J. Theor. Phys. 19, 251–304. · Zbl 0462.03014 · doi:10.1007/BF00669986
[1988] Stachow, E.-W. (1980 b), Zur Begründung der Quantenlogik durch die argumentiven Vorbedingungen einer Wissenschaftssprache, inCologne80, pp. 45–58.
[1989] Stachow, E.-W. (1981), Comment on R. Wallace,Erkenntnis 16, 263–273. · doi:10.1007/BF00219822
[1990] Stachow, E.-W. (1981 a), The propositional language of quantum physics, inMarburg79, pp. 95–107.
[1991] Stachow, E.-W. (1981 b), Sequential quantum logic, inErice79, pp. 173–191.
[1992] Stachow, E.-W. (1981 c), Der quantenlogische Wahrscheinlichkeitskalkül, in Nitsch, J., J. Pfarr, and E.-W. Stachow (1981), pp. 271–305.
[1993] Stachow, E.-W. (1983), Application of relativistic quantum language to the EPR-Gedankenexperiment, inSalzburg83, 232–235.
[1994] Stachow, E.-W. (1983 a), Quantum logical description of microsystems, inTokyo83, pp. 244–250.
[1995] Stachow, E.-W. (1983 b,1985).
[1996] Stachow, E.-W. (1985 a), Structures of quantum language for compound systems, inJoensuu85, pp. 625–635.
[1997] Stachow, E.-W. (1985 b), Structures of quantum language for individual systems, inCologne84, pp. 129–145.
[1998] Stairs, A. (1982), Quantum logic and the Lüders rule,Philos. Sci. 49, 42–436.
[1999] Stairs, A. (1983), On the logic of pairs of quantum systems,Synthese 56, 47–60. · Zbl 0518.03028
[2000] Stairs, A. (1983 a), Quantum logic, realism, and value definiteness,Philos. Sci. 50, 578–602. · Zbl 1223.81047 · doi:10.1086/289140
[2001] Stairs, A. (1985), Bub on quantum logic and continuous geometry,Br. J. Philos. Sci. 36, 313–324. · doi:10.1093/bjps/36.3.313
[2002] Stairs, A. (1989), Book Review:Peter Gibbins. Particles and Paradoxes: The Limits of Quantum Logics,Philos. Sci. 56, 712–714. · doi:10.1086/289525
[2003] Stehliková, B. (1986). · Zbl 0612.60004 · doi:10.1016/0034-4877(86)90070-4
[2004] Stehliková, B., and A. Tirpákovà (1990), A note on limit theorems on F-quantum spaces, inJán90, pp. 191–194. · Zbl 0747.60007
[2005] Stein, H. (1979). · Zbl 0406.47016 · doi:10.2307/2320750
[2006] Stolz, P. (1969), Attempt of an axiomatic foundation of quantum mechanics and more general theories. V,Commun. Math. Phys. 11, 303–313. · Zbl 0175.53001 · doi:10.1007/BF01645851
[2007] Stolz, P. (1971), Attempt of an axiomatic foundation of quantum mechanics and more general theories. VI,Commun. Math. Phys. 23, 117–126. · Zbl 0227.46080 · doi:10.1007/BF01877753
[2008] Stone, M. H. (1949), Postulates for the barycentric calculus,Ann. Math. Pure Appl 29, 25–30. · Zbl 0037.25002 · doi:10.1007/BF02413910
[2009] Størmer, E. (1972), Spectra of states of asymptotically AbelianC *-algebras,Commun. Math. Phys. 28, 279–294. · Zbl 0245.46085 · doi:10.1007/BF01645629
[2010] Størmer, E. (1978). · Zbl 0397.46065 · doi:10.1016/0001-8708(78)90044-0
[2011] Stout, L. N. (1979), Laminations or how to build a quantum logic-valued model of set theory,Manuscripta Math. 28, 379–403. · Zbl 0409.03039 · doi:10.1007/BF01954615
[2012] Strasbourg74 see Lopes, J. L., and M. Paty (1977).
[2013] Strauss, M. (1936), Zur Begründigung der statistischen Transformation Theorie der Quantenphysik,Sitz. Ber. Berl. Akad. Wiss. Phys. Math. Kl. 27, 90–113. · Zbl 0014.13903
[2014] Strauss, M. (1937/1938), Mathematics as logical syntax–A method to formalize the language of a physical theory,Erkenntnis 7, 147–153 (1937–1938); reprinted in Hooker, C. A. (1975), pp. 45–52. · JFM 64.0931.02
[2015] Strauss, M. (1972), The logic of complementarity and the foundation of quantum theory, in Strauu, M. (ed.),Modern physics and its philosophy, Reidel, Dordrecht, Holland, pp. 186–203 [A translation of Strauss, M. (1936), together with a postscript added in 1971]; reprinted in Hooker, C. A. (1975), pp. 27–44.
[2016] Strauss, M. (1973), Two concepts of probability in physics, in Suppes, P., L. Henkin, C. Moisil, and A. Joja (eds.),Logic, methodology, and philosophy of science, Vol. IV, North-Holland, Amsterdam (1973), pp. 603–615; reprinted in Hooker, C. A. (1979), pp. 261–274.
[2017] Strauss, M. (1973 a), Logics for quantum mechanics,Found. Phys,3, 265–276. · doi:10.1007/BF00708444
[2018] Strawther, D. (1974, 1975) see Gudder, S. P., and D. Strawther (1974, 1975).
[2019] Strawther, D., andS. P. Gudder (1975), A characterization of strictly convex Banach spaces,Proc. Am. Math. Soc. 47, 268. · Zbl 0295.46029
[2020] Strojewski, D. (1985), Numerical representation of orthomodular lattices and Boolean algebras with infinite operations,Bull Polish Acad. Sci. Math. 33, 341–348. · Zbl 0581.06007
[2021] Stueckelberg, E. C. G. (1959), Field quantisation and time reversal in real Hilbert space,Helv. Phys. Acta 32, 254–256. · Zbl 0088.21402
[2022] Stueckelberg, E. C. G. (1960), Quantum theory in real Hilbert space,Helv. Phys. Acta 33, 727–752. · Zbl 0097.42801
[2023] Stueckelberg, E. C. G., andM. Guenin (1961), Quantum theory in real Hilbert space. II. (Addenda and errata),Helv. Phys. Acta 34, 621–628. · Zbl 0102.21702
[2024] Stueckelberg, E. C. G., andM. Guenin (1962), Theorie des quanta dans l’espace de Hilbert réel. IV: Champs de 2e espèce (opérateurs de champ antilineares), T- and CP-covariance,Helv. Phys. Acta 35, 673–695. · Zbl 0107.22701
[2025] Stueckelberg, E. C. G., andM. Guenin (1962 a), Antilinear fields and T-, CP-covariance,Helv. Phys. Acta 35, 326–327. · Zbl 0106.42803
[2026] Stueckelberg, E. C. G., M. Guenin, C. Piron, andH. Ruegg (1961), Quantum theory in real Hilbert space. III; Fields of the 1st kind (linear field operators),Helv. Phys. Acta 34, 675–698. · Zbl 0102.21703
[2027] Stulpe, W. (1983). · doi:10.1007/BF01889348
[2028] Stulpe, W. (1988), Conditional expectations, conditional distributions, anda posteriori ensembles in generalized probability theory,Int. J. Theor. Phys. 27, 587–611. · Zbl 0645.60007 · doi:10.1007/BF00668841
[2029] Stulpe, W., andM. Singer (1990), Some remarks on the determination of quantum states by measurements,Found. Phys. Lett. 3, 153–166. · doi:10.1007/BF00689882
[2030] Sudarshan, E. C. G., andJ. Mehra (1970), Classical statistical mechanics of identical particles and quantum effects,Int. J. Theor. Phys. 3, 245–253. · doi:10.1007/BF00671006
[2031] Sudkamp, T. A. (1976), A proof of Sobociński’s conjecture concerning a certain set of latticetheoretical formulas,Notre Dame J. Formal Logic 17, 615–616. · Zbl 0332.02060 · doi:10.1305/ndjfl/1093887731
[2032] Suppe, F., andP. D. Asquith (1977) (eds.),PSA 1976 Philosophy of Science Association Proceedings 1976 [PSA76], Philosophy of Science Association, East Lansing, Michigan.
[2033] Suppes, P. (1965), Logics appropriate to empirical theories, in Addison, J. W., L. Henkin, and A. Tarski (eds.),The Theory of models, North-Holland, Amsterdam, pp. 364–375; reprinted in Hooker, C. A. (1975), pp. 329–340, and Hooker, C. A. (1979), p. xx.
[2034] Suppes, P. (1966), The probabilistic argument for a non-classical logic of quantum mechanics,Philos Sci. 33, 14–21; reprinted in Hooker, C. A. (1975), pp. 341–350, and Hooker, C. A. (1979), p. xx. · doi:10.1086/288067
[2035] Suppes, P. (1976) (ed.),Logic and probability in quantum mechanics (Synthese Library, Vol. 78), Reidel, Dordrecht, Holland. · Zbl 0321.00003
[2036] Suppes, P. (1980) (ed.),Studies in the foundations of quantum mechanics, Philosophy of Science Association, East Lansing, Michigan.
[2037] Suppes, P., andJ. C. C. McKinsey (1954), Review: Destouches-Février, P.La structure des théories physiques, J. Symbolic Logic 19, 52–55. · doi:10.2307/2267651
[2038] Suppes, P., andM. Zanotti (1976), Necessary and sufficient conditions for existence of a unique measure strictly agreeing with a qualitative probability ordering,J. Philos. Logic 5, 431–438. · Zbl 0351.60005
[2039] Suppes, P., andM. Zanotti (1981), When are probabilistic explanations possible?,Synthese 48, 191–199. · Zbl 0476.03011 · doi:10.1007/BF01063886
[2040] Süssmann, G. (1958) see von Weizsäcker, C. F., E. Scheibe, and G. Süssmann (1958).
[2041] Svetlichny, G. (1981), On the foundations of experimental statistical sciences,Found. Phys. 11, 741–781. · doi:10.1007/BF00726947
[2042] Svetlichny, G. (1982), The instrumental complexity of states,Found. Phys. 12, 301–326. · doi:10.1007/BF00726853
[2043] Svetlichny, G. (1986), Quantum supports and modal logic,Found. Phys. 16, 1285–1295. · doi:10.1007/BF00732121
[2044] Svetlichny, G. (1987). · doi:10.1007/BF00668912
[2045] Svetlichny, G. (1987 a), Methodological imperfection and formalization of scientific activity,Int. J. Theory. Phys. 26, 221–238. · doi:10.1007/BF00668912
[2046] Svetlichny, G. (1990), On the inverse EPR problem: Quantum is classical,Found. Phys. 20, 635–650. · doi:10.1007/BF01889452
[2047] Swift, A. R., andR. Wright (1980), Generalized Stern-Gerlach experiments and the observability of arbitrary spin operators,J. Math. Phys. 21, 77–82. · doi:10.1063/1.524312
[2048] Szabó, L. (1986), Quantum causal structures,J. Math. Phys. 27, 2709–2710. · doi:10.1063/1.527291
[2049] Szabó, L. (1987), Simple example of quantum causal structures,Int. J. Theor. Phys. 26, 833–843. · Zbl 0647.03056 · doi:10.1007/BF00669412
[2050] Szabó, L. (1988), Geometry of quantum space time, in Ajduk, Z., S. Pokorski, and A. Trautman (eds.),New theories in physics (Proceedings of the XI Warsaw Symposium on Elementary Particle Physics, Kazimierz, Poland, 23–27 May 1988), World Scientific, Singapore, pp. 517–523.
[2051] Szabó, L. (1989), Quantum causal structures and the Einstein-Podolsky-Rosen experiment,Int. J. near. Phys. 28, 35–47. · Zbl 0669.03031
[2052] Szambien, H. H. (1986), Characterization of projection lattices of Hilbert spaces,Int. J. Theor. Phys. 25, 939–944. · Zbl 0618.03033 · doi:10.1007/BF00668822
[2053] Szambien, H. H. (1986 a), Topological projective geometries,J. Geom. 26, 163–171. · Zbl 0598.51013 · doi:10.1007/BF01227839
[2054] Szymańska-Bartman, M. (1979), Orthogonality and orthocomplementation in partially ordered sets,Demonstratio Math. 12, 529–542. · Zbl 0421.06011
[2055] Takesue, K. (1985), Spatial theory for algebras of unbounded operators,Rep. Math. Phys. 21, 347–355. · Zbl 0586.47046 · doi:10.1016/0034-4877(85)90037-0
[2056] Takeuti, G. (1981), Quantum set theory, inErice79, pp. 303–322.
[2057] Takeuti, G. (1983), Quantum logic and quantization, inTokyo83, pp. 256–260.
[2058] Takeuti, G. (1983 a), von Neumann algebras and Boolean valued analysis,J. Math. Japan 35, 1–21. · Zbl 0503.46042 · doi:10.2969/jmsj/03510001
[2059] Tamascke, O. (1960), Submodulare Verbände,Math. Z. 74, 186–190. · Zbl 0093.25305 · doi:10.1007/BF01180482
[2060] Tamura, S. (1988), A Gentzen formulation without the cut rule for ortholattices,Kobe J. Math. 5, 133–150. · Zbl 0663.03050
[2061] Tarozzi, G. (1978).
[2062] Teller, P. (1978). · doi:10.1007/BF00717586
[2063] Tengstrand, G. (1980). · Zbl 0449.60044 · doi:10.1007/BF00670679
[2064] Thakare, N. K. (1985). · Zbl 0569.06004 · doi:10.1007/BF01278600
[2065] Thakare, N. K., M. P. Wasadikar, andS. Maeda (1984), On modular pairs in semilattices,Algebra Universalis 18, 255–265. · Zbl 0551.06006 · doi:10.1007/BF01190435
[2066] Thieffine, F. (1980, 1981).
[2067] Thieffine, F. (1983), Compatible complement in Piron’s system and ordinary modal logic,Nuovo Cimento Lett. 36, 377–381. · doi:10.1007/BF02906831
[2068] Thieffine, F. (1984). · doi:10.1007/BF00741648
[2069] Thieffine, F., andD. Evrard (1987), Logic, probability, and models: Hidden variables and semantical constraints in quantum mechanics, inMoscow87, Vol. 2, pp. 164–165.
[2070] Thieffine, F., N. Hadjisavvas, andM. Mugur-Schächter (1981), Supplement to a critique of Piron’s system of questions and propositions,Found. Phys. 11, 645–649. · doi:10.1007/BF00726941
[2071] Tirpáová, A. (1988), On a sum of observables in F-quantum spaces and its application to convergence theorems, inJán88, pp. 161–166. · Zbl 0685.03044
[2072] Tirpáková, A. (1988 a,1989).
[2073] Tirpáková, A. (1989 a), The Hahn-Jordan decomposition on fuzzy quantum spaces,Bull. Sous-Ensembl. Flous Appl. 38, 66–77. · Zbl 0671.28010
[2074] Tirpáková, A. (1990) see Stehlíková, B., and A. Tirpáková (1990).
[2075] Tischer, J. (1982), Gleason’s theorem for type I von Neumann algebras,Pacific J. Math. 100, 473–488. · Zbl 0543.46039
[2076] Tkadlec, J. (1988).
[2077] Tkadlec, J. (1988 a), Function representation of orthomodular posets, inJán88, pp. 167–169. · Zbl 0691.03048
[2078] Tkadlec, J. (1989), A note on a function representation of orthomodular posets,Math. Slovaca 39, 27–29. · Zbl 0672.03048
[2079] Tkadlec, J. (1990), Set representations of orthoposets, inJán90, pp. 204–207. · Zbl 0762.03023
[2080] Tokyo83: Kamefuchi, S., H. Ezawa, Y. Murayama, M. Namiki, S. Nomura, Y. Ohnuki, and T. Yajima (eds.),Proceedings of the international symposium Foundations of quantum mechanics in the light of new technology–Tokyo, August 29–31, 1983, Hitachi, Tokyo.
[2081] Tokyo86:Proceedings of the 2nd international symposium Foundations of quantum mechanics in the light of new technology–Tokyo, 1986, Hitachi, Tokyo.
[2082] Tomé, W., andS. Gudder (1990), Convergence of observables on quantum logics,Found. Phys. 20, 417–434. · doi:10.1007/BF00731710
[2083] Topping, D. M. (1967), Asymptoticity and semimodularity in projection lattices,Pacific J. Math. 20, 317–325. · Zbl 0166.11403
[2084] Toraldo di Francia, G. (1973, 1976).
[2085] Toraldo di Francia, G. (1977) (ed.),Problems in the foundations of physics. Proceedings of the international school of physics ”Enrico Fermi”, Course 72 [Fermi77], North-Holland, Amsterdam. · Zbl 0438.00005
[2086] Toraldo di Francia, G. 1979, 1985, 1985 a).
[2087] Toraldo di Francia, G. (1985 b), Connotation and denotation in microphysics, inCologne84, pp. 203–214.
[2088] Toraldo di Francia, G. (1988).
[2089] Törnebohm, H. (1957), On two logical systems proposed in the philosophy of quantum mechanics,Theoria 23, 84–101. · doi:10.1111/j.1755-2567.1957.tb00269.x
[2090] Torös, R. (1970).
[2091] Traczyk, T. (1973, 1975).
[2092] Trieste72.
[2093] Trnková, V. (1987). · Zbl 0626.06013 · doi:10.1007/BF00672386
[2094] Trnková, V. (1988), Symmetries and state of automorphisms of quantum logics, inJán88, pp. 170–175.
[2095] Trnková, V. (1989), Automorphisms and symmetries of quantum logics,Int. J. Theor. Phys. 28, 1195–1214; Errata,Ibid. 29, 1039–1040 (1990). · Zbl 0697.03034 · doi:10.1007/BF00669342
[2096] Truini, P. (1979, 1984, 1985).
[2097] Truini, P., and L. C. Biedenharn (1985), Imprimitivity theorem and quaternionic mechanics, inTutzing80, p. 237. · Zbl 0453.22013
[2098] Tunnicliffe, W. R. (1974), The completion of partially ordered set with respect to a polarization,Proc. Lond. Math. Soc. 28, 13–27. · Zbl 0352.06003 · doi:10.1112/plms/s3-28.1.13
[2099] Turner, J. (1968), Violation of the quantum ordering of positions in hidden variable theories,J. Math. Phys. 9, 1411–1415. · Zbl 0165.28903 · doi:10.1063/1.1664730
[2100] Turquette, A. R. (1945), Review of Reichenbach’sPhilosophical foundations of quantum mechanics Philos. Rev. 54, 513–516. · doi:10.2307/2181300
[2101] Tutsch, J. H. (1971), Mathematics of the measurement problem in quantum mechanics,J. Math. Phys. 12, 1711–1718. · doi:10.1063/1.1665795
[2102] Tutzing78, 80, 82.
[2103] Umegaki, H. (1954), Conditional expectation in an operator algebra,Tôhoku Math. J. 6, 171–181 (1954). · Zbl 0058.10503 · doi:10.2748/tmj/1178245177
[2104] Umegaki, H. (1956), Conditional expectation in an operator algebra. II,Tôhoku Math. J. 8, 86–100. · Zbl 0072.12501 · doi:10.2748/tmj/1178245011
[2105] Urbanik, K. (1985), Joint distribution and commutability of observables,Demonstratio Math. 18, 31–41. · Zbl 0635.46057
[2106] Urbanik, K. (1987), Remarks on joint distribution of observables,Colloq. Math. 53, 309–314. · Zbl 0644.46045
[2107] Valdes Franco, V. (1983). · doi:10.1007/BF00729517
[2108] van Aken, J. (1985), Analysis of quantum probability theory. I,J. Philos. Logic 14, 267–296. · Zbl 0626.03002
[2109] van Aken, J. (1986), Analysis of quantum probability theory. II,J. Philos. Logic 15, 333–367. · Zbl 0638.03005
[2110] van der Merwe, A. (1983) (ed.),Old and new questions in physics, cosmology, philosophy, and theoretical biology. Essays in honor in Wolfgang Yourgrau, Plenum Press, New York.
[2111] van Fraassen, B. C. (1973), Semantic analysis of quantum logic, inOntario71, pp. 80–113. · Zbl 0279.02016
[2112] van Fraassen, B. C. (1974), The formal representations of physical quantities, in Cohen, R. S., and M. W. Wartofsky (1974), pp. 196–209.
[2113] van Fraassen, B. C. (1974 a), The labyrinth of quantum logics, in Cohen, R. S., and M. W. Wartofsky (1974), pp. 224–254; reprinted in Hooker, C. A. (1975), pp. 577–607.
[2114] van Fraassen, B. C. (1974 b), The Einstein-Podolsky-Rosen paradox,Synthese 29, 291–309; reprinted in Suppes, P. (1976), pp. 283–301. · doi:10.1007/BF00484962
[2115] van Fraassen, B. C. (1974 c), Hidden variables in conditional logic,Theoria 40, 176–190. · Zbl 0327.02027
[2116] van Fraassen, B. C. (1979), Foundations of probability: A modal frequency interpretation, inFermi77, pp. 344–394. · Zbl 0446.60003
[2117] van Fraassen, B. C. (1979 a), Hidden variables and the modal interpretation of quantum theory,Synthese 41, 155–165. · Zbl 0431.60003 · doi:10.1007/BF00869569
[2118] van Fraassen, B. C. (1981), Assumptions and interpretations of quantum logic, inErice79, pp. 17–31.
[2119] van Fraassen, B. C. (1981 a), A modal interpretation of quantum mechanics, inErice79, pp. 229–258.
[2120] van Fraassen, B. C. (1985), Statistical behavior of indistinguishable particles, inCologne84, pp. 161–187.
[2121] van Lambalgen, M. (1984, 1984, 1985).
[2122] Varadarajan, V. S. (1962), Probability in physics and a theorem on simultaneous observability,Commun. Pure. Appl. Math. 15, 189–217; reprinted in Hooker, C. A. (1975), pp. 171–203, and Hooker, C. A. (1979a), pp. xvii–xix. · Zbl 0109.44705 · doi:10.1002/cpa.3160150207
[2123] Varadarajan, V. S. (1968/1970),Geometry of quantum theory, Vols. 1 and 2, Van Nostrand, Princeton, New Jersey. · Zbl 0155.56802
[2124] Vasyukov, V. L. (1987), Quantum logic of observables as converse semantical problem, inMoscow87, pp. 357–359.
[2125] Vienna84.
[2126] Volauf, P. (1980), The measure extension problem on ortholattices,Acta Math. Univ. Comenian. 36, 171–177. · Zbl 0513.28002
[2127] von Neumann, J. (1934). · Zbl 0008.42103 · doi:10.2307/1968117
[2128] von Neumann, J. (1935). · Zbl 0012.30702 · doi:10.2307/1968653
[2129] von Neumann, J. (1936). · Zbl 0015.14603 · doi:10.2307/1968621
[2130] von Neumann, J. (1936 a,1937).
[2131] von Neumann, J. (1940), On rings of operators. III,Ann. Math. 41, 94–161; reprinted in von Neumann, J.,Collected works, Vol. III, Pergamon Press, Oxford (1961), pp. 161–228. · Zbl 0023.13303 · doi:10.2307/1968823
[2132] von Weizsäcker, C. F. (1955), Komplementarität und Logik,Naturwissenschaften 42, 521–529, 545–555. · doi:10.1007/BF00630139
[2133] von Weizsäcker, C. F. (1958), Die Quantentheorie der einfachen Alternative (Komplementarität und Logik II),Z. Naturforsch. 13a, 245–253. · Zbl 0133.45104
[2134] von Weizsäcker, C. F. (1973), Probability and quantum mechanics,Br. J. Philos. Sci. 24, 321–337. · Zbl 0294.60001 · doi:10.1093/bjps/24.4.321
[2135] von Weizsäcker, C. F. (1973 a), Classical and quantum descriptions, inTrieste73, pp. 635–667. · Zbl 0294.60001
[2136] von Weizsäcker, C. F. (1981), In welchem Sinne ist die Quantenlogik eine zeitliche Logik, in Nitsch, J., J. Pfarr, und E.-W. Stachow (1980), pp. 311–317.
[2137] von Weizsäcker, C. F., E. Sheibe, undG. Süssmann (1958), Komplementarität und Logik. III. Mehrfache Quantelung,Z. Naturforsch. 13a, 705–721. · Zbl 0133.45105
[2138] Vrábel, P. (1981), The measure extension theorem for subadditive measures in{\(\sigma\)}-continuous logics,Math. Slovaca 31, 141–147. · Zbl 0478.60009
[2139] Vujošević, A. (1981) see Kron, A., Z. Marić, and S. Vujošević (1981).
[2140] Walker, J. W. (1983), From graphs to ortholattices and equivariant maps,J. Combin. Theory 35B, 171–192. · Zbl 0509.05059
[2141] Wallace, R. (1981), A new approach to probabilities in mechanics,Erkenntnis 16, 243–262. · doi:10.1007/BF00219821
[2142] Wang, H. (1987), Boolean lattice, fuzzy lattice, and extension lattice,Bull. Sous-Ensembl. Flous Appl. 32, 32–38. · Zbl 0659.06011
[2143] Warsaw74, see Przelecki, M., Szaniawski, and R. Wójcicki (1977).
[2144] Wasadikar, M. P. (1984).
[2145] Wasadikar, M. P. (1985). · Zbl 0569.06004 · doi:10.1007/BF01278600
[2146] Watanabe, S. (1966), Algebra of observation,Progr. Theor. Phys. Suppl. 37/38, 350–367. · doi:10.1143/PTPS.37.350
[2147] Watanabe, S. (1969), Modified concepts of logic, probability, and information based on generalized continuous characteristic function,Inform. Control 15, 1–21. · Zbl 0205.00801 · doi:10.1016/S0019-9958(69)90581-6
[2148] Weingartner, P. (1983) (ed.),Abstracts of the 7th international congress on logic, methodology, and philosophy of science (Salzburg, July 11–16, 1983) [Salzburg83], J. Huttegger OHG, Salzburg.
[2149] Weizsäcker, von, C. F.. · Zbl 0294.60001 · doi:10.1093/bjps/24.4.321
[2150] Wenning, T. (1982).
[2151] Wenning, T., andA. Bach (1983), A probabilistic formulation of quantum theory. III,J. Math. Phys. 24, 1120–1122. · doi:10.1063/1.525838
[2152] Werner, R. (1981) see Gerstberger, H., H. Neumann, and R. Werner (1981).
[2153] Werner, R. (1983). · Zbl 0528.46060 · doi:10.1007/BF02114662
[2154] Wheeler, J. A. (1981), The elementary quantum act as higgledy-piggledy building mechanism, inTutzing80, pp. 27–30.
[2155] Wigner, E. (1934). · Zbl 0008.42103 · doi:10.2307/1968117
[2156] Wilbur, W. J. (1975), Quantum logic and the locally convex spaces,Trans. Am. Math. Soc. 207, 343–360. · Zbl 0289.46019 · doi:10.1090/S0002-9947-1975-0367607-1
[2157] Wilbur, W. J. (1977), On characterizing the standard quantum logics,Trans. Am. Math. Soc. 233, 265–282. · Zbl 0366.06019 · doi:10.1090/S0002-9947-1977-0468710-X
[2158] Wilce, A. (1990), Tensor product of frame manuals,Int. J. Theor. Phys. 29, 805–814. · Zbl 0715.46047 · doi:10.1007/BF00675098
[2159] Wilde, I. F. (1976), Aspects of algebraic quantum theory (IFUSP/P-113), Instituto de físíca, Universidade de São Paulo, São Paulo.
[2160] Wirth, J. F. (1983). · doi:10.1119/1.13227
[2161] Wittel, F. (1988). · doi:10.1007/BF01909936
[2162] Wright, J. D. M. (1984, 1985, 1985 a).
[2163] Wright, J. D. M. (1985 b). · Zbl 0585.03038 · doi:10.1093/qmath/36.3.261
[2164] Wright, J. D. M. (1985 c).
[2165] Wright, R. (1977), The structure of projection-valued states: A generalization of Wigner’s theorem,Int. J. Theor. Phys. 16, 567–573. · Zbl 0379.46054 · doi:10.1007/BF01811089
[2166] Wright, R. (1978), Spin manuals: Empirical logic talks quantum mechanics, inLoyola77, pp. 177–254.
[2167] Wright, R. (1978 a), The state of the pentagon: A nonclassical example, inLoyola77, pp. 255–274.
[2168] Wright, R. (1980). · doi:10.1063/1.524312
[2169] Wright, R. (1990), Generalized urn models,Found. Phys. 20, 881–903. · doi:10.1007/BF01889696
[2170] Xu, Y. (1989), Lattice-valued logic and three-valued logic,Bull. Sous-Ensembl. Flous Appl. 38, 47–50.
[2171] Yates, J. (1969), Computers and physical axiomatics,Int. J. Theor. Phys. 2, 297–299. · doi:10.1007/BF00670016
[2172] Yeadon, F. J. (1983), Measures on projections inW *-algebras of typeII 1,Bull. Lond. Math. Soc. 15, 139–145. · Zbl 0522.46045 · doi:10.1112/blms/15.2.139
[2173] Yeadon, F. J. (1984), Finitely additive measures on projections in finiteW *-algebras,Bull. Lond. Math. Soc. 16, 145–150. · Zbl 0574.46048 · doi:10.1112/blms/16.2.145
[2174] Ylinen, K. (1985), On a theorem of Gudder on joint distributions of observables, inJoensuu85, pp. 691–694.
[2175] Younce, M. B. (1990), Refinement and unique Mackey decomposition for manuals and orthoalgebras,Found. Phys. 20, 691–700. · doi:10.1007/BF01889455
[2176] Yourgrau, W. (1977, 1978).
[2177] Zabey, Ph. Ch. (1969).
[2178] Zabey, P. C. (1975), Reconstruction theorems in quantum mechanics,Found. Phys. 5, 323–342. · doi:10.1007/BF00717447
[2179] Zanghí, N. (1983, 1984).
[2180] Zanghi, N. (1984 a).
[2181] Zanotti, M. (1967).
[2182] Zapatrin, R. R. (1989), Binary quantum logic and generating semigroups,Int. J. Theor. Phys. 28, 1323–1332. · Zbl 0693.03042 · doi:10.1007/BF00671850
[2183] Zapatrin, R. R. (1990), Graph representation of finite ortholattices, inJán90, pp. 213–218. · Zbl 0729.06006
[2184] Zapatrin, R. R. (1990 a). · Zbl 0697.03035 · doi:10.1007/BF00671321
[2185] Zecca, A. (1973). · doi:10.1007/BF00671579
[2186] Zecca, A. (1974). · doi:10.1007/BF01646609
[2187] Zecca, A. (1975). · doi:10.1063/1.522577
[2188] Zecca, A. (1976), On superposition and entropy in quantum dynamics,Int. J. Theor. Phys. 15, 785–791. · doi:10.1007/BF01809594
[2189] Zecca, A. (1978), On the coupling of logics,J. Math. Phys. 19, 1482–1485. · Zbl 0394.03057 · doi:10.1063/1.523816
[2190] Zecca, A. (1980), Dirac’s superposition of pure states extended to the statistical operators,Int. J. Theor. Phys. 19, 629–634. · doi:10.1007/BF00670399
[2191] Zecca, A. (1981), The superposition of states and the logic approach to quantum mechanics,Int. J. Theor. Phys. 20, 191–230. · Zbl 0474.03035 · doi:10.1007/BF00669795
[2192] Zecca, A. (1981 a), Products of logics, inErice, pp. 405–412.
[2193] Zeh, H. D. (1971), On the irreversibility of time and observation in quantum theory, inFermi70, pp. 263–273.
[2194] Zeh, H. D. (1979), Quantum theory and time asymmetry,Found. Phys. 9, 803–818. · doi:10.1007/BF00708694
[2195] Zeman, J. J. (1974), Quantum logic with implication,J. Symbolic Logic 39, 391. · Zbl 0285.02027
[2196] Zeman, J. J. (1978), Generalized normal logic,J. Philos. Logic 7, 225–243. · Zbl 0413.03014 · doi:10.1007/BF00245929
[2197] Zeman, J. J. (1979), Quantum logic with implication,Notre Dame J. Formal Logic 20, 723–728. · Zbl 0426.03066 · doi:10.1305/ndjfl/1093882792
[2198] Zeman, J. J. (1979 a), Normal, Sasaki, and classical implications,J. Philos. Logic 8, 243–245. · Zbl 0429.03044 · doi:10.1007/BF00258429
[2199] Zerbe, J. (1981). · Zbl 0467.60003 · doi:10.1063/1.524832
[2200] Zerbe, J., andS. P. Gudder (1985), Additivity of integrals on generalized measure spaces,J. Combin. Theory 39A, 42–51. · Zbl 0624.28012 · doi:10.1016/0097-3165(85)90082-2
[2201] Zierler, N. (1961), Axioms for non-relativistic quantum mechanics,Pacific J. Math. 11, 1151–1169; reprinted in Hooker, C. A. (1975), pp. 149–170. · Zbl 0138.44503
[2202] Zierler, N. (1963), Order properties of bounded observables,Proc. Am. Math. Soc. 14, 346–351. · Zbl 0135.44303 · doi:10.1090/S0002-9939-1963-0145863-X
[2203] Zierler, N. (1966), On the lattice of closed subspaces of Hilbert space,Pacific J. Math. 19, 583–586. · Zbl 0148.43804
[2204] Zierler, N., andM. Schlessinger (1965), Boolean embeddings of orthomodular sets and quantum logic,Duke Math. J. 32, 251–262; reprinted in Hooker, C. A. (1975), pp. 247–262. · Zbl 0171.25403 · doi:10.1215/S0012-7094-65-03224-2
[2205] Zoubek, G. (1981).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.